{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "71dfed29",
   "metadata": {},
   "source": [
    "## Sine wave regression on a few noisy observations, with Bayesian inference and different surrogates\n",
    "\n",
    "1. A one-hidden layer neural network.\n",
    "1. A surrogate learned by function prior (FP) method.\n",
    "2. An analytically expressed sine function with unknown amplitude and frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9b8749bc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import neuraluq as neuq\n",
    "import neuraluq.variables as neuq_vars\n",
    "from neuraluq.config import tf\n",
    "\n",
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "bf1fda76",
   "metadata": {},
   "outputs": [],
   "source": [
    "def load_data(noise_scale=0.05):\n",
    "    # generate a few noisy observations for a sine wave, e.g. sin(10x)\n",
    "    x = np.linspace(-0.7, -0.3, 3).reshape([-1, 1])\n",
    "    u = 1.5 * np.sin(11 * x) + noise_scale * np.random.normal(size=x.shape)\n",
    "    x_test = np.linspace(-1, 1, 100).reshape([-1, 1])\n",
    "    u_test = 1.5 * np.sin(11 * x_test)\n",
    "    \n",
    "    x_cal = np.linspace(-0.7, -0.3, 20)[1:-1].reshape([-1, 1])\n",
    "    u_cal = 1.5 * np.sin(11 * x_cal) + noise_scale * np.random.normal(size=x_cal.shape)\n",
    "    return x, u, x_test, u_test, x_cal, u_cal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2d109d90",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(123)\n",
    "noise = 0.05\n",
    "x_train, u_train, x_test, u_test, x_cal, u_cal = load_data(noise_scale=noise)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6924469",
   "metadata": {},
   "source": [
    "#### Using NeuralUQ to build common model for Bayesian inference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a0914700",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_model(process):\n",
    "    likelihood = neuq.likelihoods.Normal(\n",
    "        inputs=x_train,\n",
    "        targets=u_train,\n",
    "        processes=[process],\n",
    "        sigma=0.05,\n",
    "    )\n",
    "    \n",
    "    model = neuq.models.Model(processes=[process], likelihoods=[likelihood])\n",
    "    \n",
    "    method = neuq.inferences.HMC(\n",
    "        num_samples=1000,\n",
    "        num_burnin=1000,\n",
    "        init_time_step=0.1,\n",
    "        leapfrog_step=50,\n",
    "        seed=None,\n",
    "    )\n",
    "    model.compile(method)\n",
    "    return model\n",
    "\n",
    "\n",
    "def plot(u_pred, ylim=[-2, 2]):\n",
    "    u_mean = np.mean(u_pred, axis=0)\n",
    "    u_std = np.std(u_pred, axis=0)\n",
    "\n",
    "    plt.figure(figsize=(8, 6), dpi=80)\n",
    "    plt.plot(x_train, u_train, \"k.\", markersize=10, label=\"observations\")\n",
    "    plt.plot(x_test, u_test, \"k-\", label=\"reference\")\n",
    "    plt.plot(x_test, u_mean, \"r--\", label=\"mean\")\n",
    "    plt.fill_between(\n",
    "        x_test.flatten(), u_mean + 2 * u_std, u_mean - 2 * u_std, alpha=0.3, facecolor=\"k\", label=\"2 $\\\\bar{\\\\sigma}_e$\",\n",
    "    )\n",
    "    plt.fill_between(\n",
    "        x_test.flatten(),\n",
    "        u_mean + 2 * np.sqrt(u_std**2 + noise**2),\n",
    "        u_mean - 2 * np.sqrt(u_std**2 + noise**2),\n",
    "        alpha=0.3,\n",
    "        facecolor=\"r\",\n",
    "        label=\"2 $\\\\bar{\\\\sigma}$\",\n",
    "    )\n",
    "    plt.legend()\n",
    "    plt.xlabel(\"$x$\")\n",
    "    plt.ylabel(\"$u$\")\n",
    "    plt.ylim(ylim)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7271e30e",
   "metadata": {},
   "source": [
    "#### Surrogate is a neural network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7801c66b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a MCMC method\n",
      "\n"
     ]
    }
   ],
   "source": [
    "layers = [1, 50, 1]\n",
    "process_nn = neuq.process.Process(\n",
    "    surrogate=neuq.surrogates.FNN(layers=layers),\n",
    "    prior=neuq.variables.fnn.Samplable(layers=layers, mean=0, sigma=1),\n",
    ")\n",
    "model = make_model(process_nn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "a2a56a27",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling from posterior distribution ...\n",
      "\n",
      "Finished sampling from posterior distribution ...\n",
      "\n",
      "0.653\n"
     ]
    }
   ],
   "source": [
    "samples, results = model.run()\n",
    "print(np.mean(results))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0315333e",
   "metadata": {},
   "outputs": [
    {
     "data": {
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Ihnk3S4hDlUgkEkmImGxvxzE8HO4wJDpGL2MHfg/8B7D3Ats1K4pSH/xwJBKJRBJuBvbtC3cIEp2ji5UYRVFeUxRl8R75OmZmZiagww6FEHz3u9/lkksuobS0lCeffJLvfe977Nixg8rKSnbv3u3f9vnnn+eKK65g+/btXHzxxbzyyisADA4Ocu2117J9+3Zqa2v57Gc/i8/nA+DBBx/khhtu4AMf+AB1dXXs2LGD9vb2gMUvkUgkgcI5McF0S0u4w1gWPkXBo37PSkKLXlZilku5EOII4AUeUBTlZwHde23t4o//6U9QUQGtrXDLLQAogMHhwC0ExMVhPHVqbtvnn4e77jp3H8uYTQRzc5D279/PSy+9xC233MI999zDoUOHePzxx/nKV77CwYMHaW9v51vf+hbPP/88qamptLa2cuWVV9LZ2Ul6ejpPP/00ycnJeL1ebrnlFh577DHe//73A3Dw4EEaGhooKyvjn/7pn/j+97/Pvffeu9J3KuZ57rnn+NrXvsZll13Gu9/9bq655hr/dG9J9OPxeOju7qa/v99/m56e5nOf+xzp6enhDi8qGHjzTRSdCwO318vTDQ08+PrrmOPi+O+//VvWpaWFO6yYIpJEzBGgSFGUSSFEEfCMEGJUUZTHFm4ohLgL8CuJtCB9qOLi4nC73bicTsb6+sjPz1/z0tadd94JwI4dO5iZmfGLj4svvpjTp08DcyfQ1tZWrrrqKv/rDAYD3d3dFBYW8tWvfpW9e/eiKArDw8Ns3rzZv59LL72UsrIy/88/+clP1hhx7HH06FHuuOMOZmdnOXr0KD/96U9JTk7m7W9/O1/84he54oorwh2iJIg4HA6uuOIKDh8+fM5zhw8f5o9//CNCiDBEFj34PB7GdDxE1uP18udjx3jw9dcZmJwk1WxmaGqKT//61/z0gx+kMCMj3CHGDBEjYhRFmZr3c68Q4hHgSuAcEaMoyt3A3dr9oqKi5XVJutBqSUWFfxvB3Jvnnp2lo6MD+8AAU1NTlF19NeZlrroshtlsBvDPA5p/X5tmrSgKN954I7/97W/Pef13vvMdhoeH2b9/P2azmbvuugvHvPJEbX8L9ylZHr29vdx000243W5ee+01MjIyePrpp3nqqaf4wx/+wIsvvkhrays5OTnhDlUSJL7zne9w+PBh7rjjDi677DIKCgrIz8/npz/9KY899hg//elP+exnPxvuMCOa4aNH8djt4Q5jUbrHxvjCb39L/8QEaRYL/3DdddyxYwevnDrFd/78Zz6lCpmSrKxwhxoT6MITsxyEEPlCCIP6cwpwExB2qW6xWKipqWHdunXMzMxw8uRJZmdng3rMt7/97fz1r3/lrbfe8j924MABAMbHx1m3bh1ms5nBwUEef/zxoMYSS0xPT3PTTTfR39/Pgw8+yOWXX86mTZv46le/yuuvv85jjz3G1NQU//Iv/xLuUCVB4q233uL73/8+9fX1/Pa3v+VLX/oSd955J1dddRW/+MUv2LBhA1/+8pc5quNVhEhgRP0+0yP3vPQS/RMTfPqaa/jjZz/Lhy+7jMT4eN61dSvfvvVWxmw2PvXrX9Mqq6pCgi5EjBDiXiFEL1AEPC+EaFUfv08IcbO62e3AcSHEMeBN4EXggbAEvACDwUBRURGVlZX4fD4GBgaCeryKigp++9vf8qlPfYqtW7eyceNGfvSjHwHwhS98gf3791NbW8uHPvQhbrjhhqDGEit4PB7uvPNOjh07xne+8x0+8IEPnLPN7bff7j+ZzReYkujA6/Xy8Y9/HJ/Px3333UdcXNxZz6empvLoo4+iKAp33nkn09PTYYo0spnq7GR2cDDcYSzKqf5+Xm1u5tqaGj56xRUkLfDB3Vhby/fuuAObw8H/fughOkZHwxRp7CCUGJhHUVRUpPT2nl385PV6aWlpoaqqyp+6CQQtLS1MTU2xefPms1I3ksASrP+/pfjc5z7HPffcw0c+8hF++ctfLul5OHLkCDt27OC6667jxRdflN6IKOLuu+/my1/+Ml/5ylf4j//4jyW3++EPf8hdd93Fhz/8YX71q1+FMMLooPmRR5g8eTLcYSzKFx95hDfb2vjtpz7FhvOkjF9vbeWu3/2Od2zezP93662hCzBMJOTmsvVznwvKvoUQfYqiFC31vC5WYqKJdevWATA0NBTmSCSBor29nXvuuYfLL7+ce++997zCZNu2bXz0ox/lpZde4umnnw5hlJJg0t7ezje+8Q3Ky8v51re+dd5tv/jFL/Kud72LX//61/z6178OTYBRgmtqiqmmpnCHsSjHenrY19bG22przytgAC6vqGBbSQl/PXkSq80WoghjEyliAkxKSgpJSUmMjo7idrvDHY4kADzwwFzW8hvf+Abx8fEX3P473/kOycnJfPnLX8blcgU7PEmQURSFT33qU8zOzvI///M/JCYmnnd7IQQPPvggBQUFfOlLX5KfgRXQ/8Ybui2rvnf3bgxC8Il5VaHn4707duDx+XhKDq8MKlLEBBghBOvWrUNRFLkaEwV4PB4eeOAB1q9fz4033ris1+Tn5/O1r32N1tZW7rnnniBHKAk2TzzxBH/961/5+Mc/znXXXbes12RnZ/OFL3yBsbExnnnmmSBHGB3ouaz6UEcHh7u6+JstWyheZtXRVdXV5KSk8IfDh2UjvCAiRUwQSE9Px2w2MzIyIkuYI5znn3+evr4+Pvaxj63Ie/OlL32JkpISvv3tbzMyMhLECCXB5oEHHsBkMvG9731vRa/727/9W4QQPPTQQ0GKLLrQa1m1oijc++qrGA0GPr6CHlAmg4H3bNvG8PQ0eyKk83AkIkVMENBWY7xeL6PSnR7R3H///Qgh+OhHP7qi15nNZr73ve8xOTnJL3/5yyBFJwk2Y2NjvPDCC9xwww0r7v1TVFTEtddey5///GfGx8eDFGH0oNey6jfb23mrt5db6uspWGETu1svugiTwcDjBw8GKTqJFDFBIjMzk7i4OIaGhvyziySRxeDgIE8//TQ33ngjJSUlK379bbfdRkpKCn/84x+DEJ0kFPzxj3/0l9evhg996EO4XC4ee+ycnpySeei5rPoXr71GvNHIR1bRiTsrOZnrNm7kcFcX7XJFNihIERMkDAYDeXl5uN1urFZruMORrIJf//rXeDwePvGJT6zq9QkJCdx0003s37+fhSX+ksjgd7/7HfHx8dy6yjLZ22+/HYvFIlNKF6D/9dfDHcKi9I+P09jXxw2bNpGXmrqqfbx3xw4Afn/oUCBDk6hIERNEcnJyMBqNDAepc+Mf//hH6uvrqa+v5+abb77wCyTLRlEU7r//frKystb03t52220APPnkkwGKTBIqhoeHefnll3nHO96x6qGOKSkp3Hrrrbz++utyYvwS6Hla9R51Xt3V1dWr3kddURFVeXk8e/w4NqczUKFJVCJmdlIoCEZfj6GhIaampqioqLjglGOHw8H73/9+Tp48icViITc3l//3//4fFRUVi27/nve8h/e85z0Bj1kCe/fupaWlhS996Utrmk79zne+E7PZzBNPPCHn6UQYTzzxBD6fb9WpJI0PfehDPPLIIzz88MN885vfDFB00UP/vn26Lave09JCvNHIxRs2rHofQgjeu2MH3/3LX3j2rbd4786dAYxQIldigozWU2JycnJZ23/yk5+kubmZY8eOccstt6w6lSFZG/fffz8AH//4x9e0n6SkJN7xjnfw2muvySqlCOPRRx/FbDbz7ne/e037ufHGG8nLy+Ohhx4iFjqkrwSf2824Tvuo2BwOjnR3s6OsjMRl9Ic6H2/bvJlUs5nfHz4sPwMBRoqYILMSEWM2m/mbv/kbf0fYXbt20dnZuei2AwMD3HHHHdTX15OWloYQAiEEe/fuDVjsscrk5CSPPfYYu3btora2Fux2ePNNeP55ePVV2L8fjh2D7u5l7e+2227D5/Px1FNPBTlySaDo7+/ntdde413vehcpKSlr2pfJZOIDH/gAra2t/kGtkjn0WlYNsK+tDa/Px5WVlWvelzkujhs2baJzdJQeWakWUKSICTJGoxGLxcL09PSKq5R+/OMfc8sttyz63O23386VV15JQ0MDHR0dpKenc+rUKa5YhYNecjaPPvoos7OzfOLjH4eODti9G0ZGwOWCqSkYHp4TMMeOQWMjXODK6qabbsJkMvGHP/whNL+AZM08/vjj/kGOgeBDH/oQgDT4LmD4zTfDHcKSaL1dLg+AiAHYVV4OwAHpjQooUsSEgKSkJHw+34qm2v77v/87ra2tizbYevPNN5mcnOQLX/gCMFfOXVJSEjQDcazxl7/8BaPRyB3r18OJE+D1Lr1xezscOQLnEagZGRlcd911/PWvf112WlESXh599FGSkpJ417veFZD9XXTRRWzatInf/e53cgyBykRrKw6dplg9Xi9vtLVRk5+/6qqkhWwvKcEoBPuliAkoUsSEgJX6Yn7wgx/whz/8gWeffXbROS0NDQ1cdNFF/vuTk5N0dnZSX18PwH/8x39w3XXXcd111zE1NbX2XyCG8Hg87N69m52VlaSpJxtFUejr66OpqYnm5mZOnz5NW1sb/f39c/nt/v65dNN5ZmXddtttuFwu/vKXv4TqV5Gsku7ubvbt28fNN998wTlJy0UIwQc/+EGsVivPPfdcQPYZ6Qy88Ua4Q1iSYz09TDscAUklaSSbzdQWFnKosxPP+S6MJCtCipgQEB8fT3x8/LJEzN13380jjzzCiy++uGRZZ3Z2NseOHcPpdOJ2u/n85z/Ppz/9aVJTU9m3bx+Dg4O8/PLLfOpTn5I+jBVy5NAhpqamuH7LFgCcTidNTU309fUxNTXF5OQk4+PjWK1Went7aW1txev1gtUKr78OS4yZuPXWWxFCyJRSBKA1pgtUKknjfe97HwDPPvtsQPcbicyOjjLd2hruMJZEK62+sqoqoPu9ZMMG7C4Xjf39Ad1vLCNFTAgQQpCWlobT6cThcCy5XW9vL1/+8peZmJjg2muvpb6+nksuueSc7W6++WZ27NhBXV0du3btoqKigu9+97vAXJn4nj17uOaaa/jhD3+I2WwO2u8Vjbz86KMAXL9lC+Pj45w4ceK8acDx8XGamprmUgTT09DcvOh2eXl5XHHFFTz77LPYdWpklMzx6KOPkpqayjve8Y6A7nfDhg2sX7+e3bt3B3S/kUj/G29c0EsWLhRFYU9LC7kpKVTl5QV03xeXlQHIlFIAkX1i5rHWUsrzMTExwcjICJOTk0sKi6KiomWV38XHx/PAAw8seZzf/OY3VFVV4Xa7iYuLW1PcMcXwMC+98grm+HgKk5I4rV6NXYiZmRlOnjxJVVUViR0dUFwMi1S03HbbbezZs4cXXnhh1R1gJcFleHiYQ4cO8bd/+7dr6g+0GEIIrrnmGh566CEGBwdZt25dQPcfKXidTsaPHQt3GEvSabXSOz7O7du3+ytFA8WmwkKSEhI40NHBJ6++OqD7jlXkSkyISElJQQgRdGPnJz/5Sf7+7/+ea6+9ls9//vNBPVZU4XDg3L+fvadOcXF5ORMrHBXhcrk4deoUjtlZOH580W20xoQypaRf9uzZA8A111wTlP1r+33ttdeCsv9IYPDgQXw6NjdrVUlXBTiVBHOTrXeUltLY18f0eVblJctHipgQYTQaSUlJYXp6es5DESTq6+vZt28fr7zyCv/v//2/oB0nqlAUOHyYfceP43C52Jyfv6rdeL1eurq65vwxfX3nPF9SUsK2bdv485//LIeC6hRNXFx11VVB2b8mYmI2paQoup1WrbGnpYXE+Hi2rWLo63K4ZMMGfIrC4SV6gElWhhQxISQtLQ1FUVZUai0JAZ2dMDbGS+oS9/Y1fHlpxl9OnlzU5HvttdcyPj7OqVOnVn0MSfDYs2cPubm5VAXhKhygrKyMoqKimBUxoydP4tJxs7exmRmO9/ZyyYYNxJuC47aQvpjAIkVMCElLSwOWX2otCQFeL6jel2cPHSIpIYGaVa7EaHR1deGdmYFFhtppzQhlZ2X9MTk5ybFjx7jyyisD7oXQ0Hwxp06dYmhoKCjH0DN6bm4HsK+1FYXgpJI0ijIyKEhP50BHR9COEUtIERNCEhISSEhIYHJyUs7P0AtdXeB00jc0RENnJ9uKizEZ1vZn4XK5GBgYmGuEZ7Od9dxll10GwOuvv76mY0gCzxtvvIHP5+PKK68M6nG0lNKrr74a1OPojZmBAWw6T6EcUUeJaKslwUAIwcVlZfSOj9On41WpSEGKmBCilVq7XK7zllpLQoTXC62tuN1u/rB7N16fj+2lpQHZ9cDAwJzJt6nprMdzc3OprKyUIkaHaKZeKWKCQ38ErD6e6O0lPy2N7DXOy7oQl6hTsWVKae1IERNitJSS7KSrAzo7wemkv7+fN9vaANi5yBWY8HpJb2khpbPzvOMF5qMoypzJd3AQFgjWyy+/nPb2dgYHB9f6G0gCyJ49e0hJSWHr1q1BPc6GDRtizhfjttmYaGwMdxjnZXJ2lk6rlbqioqAfa0dpKQYh2C9TSmtGipgQk5SUBMz1FpGEEY8HWltxOp1zvUE6OshITGRDTo5/E9PMDAV79rD1nnuoeuwxNj78MPX//d8kL3N69eTkJONjY+dMu7788ssBmVLSEw6HgwMHDnD55ZdjNBqDeiwhBFdffTUnT56MmXln/fv2oei81f4JtaIwFCIm1WJhY0EBhzs78chKxTUhRUyIMZlMmM1mKWLCTWcnuFz09/czMTNDy9AQ29WrI40NTz9N0auvogA911xD3xVX4E1IwJGZObeBz0fCBXLa/f39c76beV9UmrlXihj9cODAAVwuV9BKqxcSSykln8fD6KFD4Q7jghzv7QWgrrAwJMe7uKyMaYeDU3IEwZqQIiYMJCUl+ecerYU//vGP1NfXU19fz8033xyg6GIAdRXG4XAwMjrKoa4uYG6Jd34r9P7LL+f07bdz7HOfY+CKK+i75hqO/+//jSc5GYDyP/2JTQ88gPk8jfFmZmawjY7CvEqU6upqsrKyZIWSjtD6wwTbD6MRS/1iho8exRsBozZO9PaSYDJRGeBRA0uh+WIOypTSmpAiJgwslVJyOBzceuutVFVVsXXrVm688UZazzMk7T3veQ8NDQ00NDTIQY8roaMD3G5ePHCA//PYY3zn6acByE5OpuKJJ1i3bx8oCrb16xnfuBGWqFaybtqEaXaW6t/8hvjzlM2PjIzMrfyoCCG47LLLOHr0qJyjpBP27NlDQkICO3fuDMnxysvLKSwsjImVGL2XVQN4fT4a+/vZVFCAKcjpRI3aggJMBoM/jSVZHXJ20nzUk1lQmDeXab6IWTip+pOf/CTvfOc7EUJwzz338IlPfCImrtZChs8H7e3sO3WKO374Qzw+Hz519WXm8cfJVBSUZZZYT1RX037zzZT/6U9U/+Y3nPrwh/2rNPOxWq2sHxzEZLOB+vzll1/O008/zYEDB4LW4l6yPDweD2+88QaXXHJJwOclLYXWL+Y3v/kNw8PD5ObmhuS4oWaitRVHBPh+2kdGsLtcIfHDaMSrqz4nBwZQFCVovYmiHbkSEwYsFgtCiHNWYsxmM3/zN3/j/zDv2rWLziX6KgwMDHDHHXdQX19PWloaQgiEEDJFcSGGhsDl4l8ffvgsAXML8E1FoSUhgY53vxuW+YVirauj8x3vwDI2RvUjj2BcpHTe5/MxOjp61mqMNPfqh4aGBmw2W8hSSRpXqwMAo3mO0kCEfL41P8zmEPlhNDYVFDA+M8OgbIC6aqSICQMGg4GkpCRmZmbO2/Tuxz/+Mbfccsuiz91+++1ceeWVNDQ00NHRQXp6OqdOnfKbRiVL0NOD3W6nsafHL2A2AQ8BI8AHExLwrXDy9/COHfRccw1xdjumJdJDw8PD0NMz15sG2LFjB/Hx8VLE6ACtP0yoTL0a0e6LmR0dZVptXaB3/KbeEK7EAGxUu4OfHBgI6XGjCSliwkRSUhJer3fJpnf//u//TmtrK9/73vfOee7NN99kcnKSL3zhCwBkZmZSUlISM+Waq8bhgOFhevv6qMzLwyAECcCTgBl4H5C0ypEDA5dfzvFPfhKnVrl0zqEdTI2N+QdDms1mduzY4e8SKwkfe/bswWAwcOmll4b0uBUVFRQUFEStL6Z/796zjPJ65nhfH0UZGWSqqf5QUauu/MgKpdUjRUyYOF+/mB/84Af84Q9/4NlnnyUxMfGc5xsaGrjooov89ycnJ+ns7KS+vj5o8UYFvb04HQ4mxsf5xFVXYTIYcAKfBj4CvGE08vHVXo0LgddiASCpvx+xSOXZ8PDwnKlY5fLLL2dycpJGnTcBi2YURWHPnj1cdNFFpAS5S+tChBBcddVVnDhxgomJiZAeO9h4ZmcZf+utcIexLCbsdnrGxkKeSgIoycrCEhfHSSliVo0UMWEiWTV4LhQxd999N4888ggvvvjiOaZfjezsbI4dO+Yv0/785z/Ppz/9aVJTU4MddmTT3T1XKQRU5eVx30c/SpzRyB6jkf7qau7/2MeoWmN5ZVpbG7W//CX5i1RkjI2P4xodBTX/LX0x4aepqYnR0dGQp5I0duzYAcDRo0fDcvxg0b9vH741tpAIFaFscrcQo8FATX4+pwYG/OltycqQIiZMxMXFERcXd5aI6e3t5ctf/jITExNce+211NfXc8kll5zz2ptvvpkdO3ZQV1fHrl27qKio4Lvf/W4ow488xsZQbDa/iAGoGh7mCq+Xm7Zs4fvvfe+aBQzAVGkps1lZ5L/xBnELR0soytzx1fy3HAYZfkI1L2kptm/fDsCRI0fCcvxgoHi9WCOguZ3GWz09QHhEDMDGggLsLhdd5+k3JVkaWWIdJoQQJCUlMTExgdfrxWg0UlRUtKzp1vHx8TzwwAMhiDKK6OlhYmLiTINBn4+ql1/mCeC/lypvFYL4uDgSEhKIj49ncnISj8dz3sMoRiPdb3sb1Y88wvqXXqL9Pe856/nh4WEK+vsRNTXk5ORQVVUlRUwYeVNdMdNWxUKNlhY+fPhwWI4fDIYbGnBPT4c7jGVzvK8PS1wc5WEqc68tKADmfDFl2dlhiSGSkSJmPvN6uYQCTcTY7faQ5+NjCo8H+vrOWoXJOnmSDJuNbwEV69eftXl8fDxVVVWYzWYM83rGuN1uuru7sV7gimmyvJyJigqyGxsZ3rED27z9u91upgcGSJ2ehpQUrrjiCn75y1/S399PgfplJgkdR44cobCwMGx9WtLS0qioqIiqlZhIaG6n4fH5OKk1uVtmf6hAs0mrUOrv52+2bAlLDJGMLtJJQoj/FkJ0CiEUIUT9ebb7uBDitBCiTQjxCyHEymphdcZSvhhJgBkYwDU7y4TWi0FRyN+7lxkh+LnBcPbQR5OJ6upqEhMTzxIwMJcCLC8vp7KqirgLlGF333gjPoOB4hdfPKdCY2xszJ9Skr6Y8OF0OmlsbGTbtm1hjWPbtm20tLQwHUGrF0sx0dbGbARNZ28bHsbhdrMlTKkkgPz0dNIsFmnuXSW6EDHA74ErgK6lNhBClAH/BlwJVAB5wCdDEl2Q0CqPbDZbmCOJcjRDryomMpqbSRwd5RdGI9nr1vnbjBsMBqqqqrCoVUZnYbH4G+BlpKdTV1dHRkbGkod0ZGXR9fa30/nOd57TOG98fBxF/cLSynoPHDiw5l9TsjIaGxvxeDxnVfqFg+3bt6MoCg0NDWGNIxAMRFizzXD1h5mPEIJNBQW0DA3h1vmkbz2iCxGjKMpriqL0XmCzO4CnFEUZVOaMIz8HPhD86IKH0WjEYrHIlZhgMjODYrWelUrKf/11PCYT/+7xUKMu5QohqKys9K+OkZsLGzfCrl3w9rfDDTfAVVdBVhYwt2KzYcOGRUvgNUa2b8e+SN8Zt9vNzMAAzMz4RVM0nMAiDa0iKNwiRlsJinRfjH1kJGKa22mEq1PvQjYVFOD2emmVvb5WjC5EzDIp5uyVmk71sXMQQtwlhOjVboutdGit/ZdjpA0mSUlJuN1uXC5XWOOINLT/twvOG+nrY3Jy8qz3t/2WW3hm2zZGONMxs7y8nLS0tLkNiovhkkugogJyciA+fu7x1FS47DLYtg3MZoxGI5WVlRjPNzDO5yO9uRnLgi8nLaVkNBrZsmULDQ0NYf8sxhp6EzGR7ovp37MnYprbaRzv7WV9Zibp57kYCQWbVD+cTCmtnEgSMctGUZS7FUUp0m7JiwzlMxgMxMXFYbVa8Xg8eL3esNy01MX09HTYYoi0m8PhoK+v7xzj7aIMDZ21CgPgyM7mD6Y5T/vGggJyc3PJ1Drt5ubChcx1hYVw3XVQXExCQgIVFRVLbmqxWql6/HHyF3hexsfHQf3Cqq+vZ3R0lH75BRZSjhw5QmZmJsXFi14LhYzMzExKS0sjeiXGPTPDxPHj4Q5jRUzOztI3MRH2VRiYN35AfgesmEiqTuoGyufdL1UfWzXFxcV0d3fPXRWHCbfbzejoKC6X67weC8kZhBCkp6dfuKLE4cA9MsK42g3VZLeT1tbGeFUVpwYGSDCZKM3JYd26dXPbp6fD9u3LG/5oNM6JHbudNKCoqIje3nMzorM5OUyVlJB56hQ9N9yAW61Cczqd2AcGSLTb/SsBDQ0NFOrgCzUW8Hq9HDt2jEsvvVQX04O3b9/OH//4R2ZmZvzdvCOJgX378F2g/YDeOD00BBCQ/lBrJSs5mXWpqXL8wCqIJBHzBLBXCPEtYIi5bvG/W8sO4+PjqaiowOfzhW0p3+v1csMNN7Blyxaef/75sMQQSWjTupd14hkeniuH1gy9TU2UPfMMbTffTNPgIFXr1pGTmYnZbIbERLj4YjCt4E9CiDnRs2cP+fn52Gy2RdvHD158MVVdXeQeOUKfOrkY5lJKiYOD/nERDQ0NvOtd71r+8SWr5vTp09jnCchws23bNp544gmOHTvmb4IYKfg8HkYPHgx3GCtGEzGVOhAxMLcq/GpzM3aXi0QthS25ILpIJwkh7hVC9AJFwPNCiFb18fuEEDcDKIrSDvwr8DrQytzQ4XsDcXyDwYDRaAzLLT4+nrq6Ovbt2wcQtjgi5WYwGJZ/5Tw0NJe2UclqbMRnMnEqL4+p2Vk25ueTn58PcXFzBt6EhJV/eOLjYedOhGr0Xaz0eqKyEmdaGrlHjiDmXa1OTExAfz91dXUYDAZp7g0hevHDaERy597hI0fwLDG9Xc/oTcRsKijApyg0y4nWK0IXIkZRlE+p/hWToih5iqJUqI9/QlGUp+Zt9wtFUcrV28cVRYmM4RwXoL6+HrvdTnt7e7hDiR58Ptz9/Uyrpu646WlSurqYqKjguNqsrr60dK4aqbIS1rKEn5oK9fWYTCaKFivVNBgY2rGDuJkZMk+e9D9st9txDAyQqJZ2SxETOjSxoBcRE7GdexWFoTfeCHcUq+L00BA5KSlhN/Vq+JveSRGzInQhYmKdLaqR9K0ImfoaEYyOMjEvlZR56hQCsNbWckr9krhm27a5VZiSkrUfr6AAKivJzs5etM/MSH09A5deyvQCE6lWpVRfX09ra2tUNDyLBI4ePUpiYiJVVVXhDgWA3NxcioqKIm4lxnrqFM4InPnj8XrpGB2lIkydmhejJj8fgTT3rhQpYnSAFDFBYHDQb+iFuVSSNz6eyYoKTg0MYImPZ2d19ZyAWYkP5nxUVyPS0xetdvFaLPRcfz2uBZPJJyYmYJ4vRn4Ggo+iKBw9epStW7eevzw+xGzfvp3GxkZmZ2fDHcqyGYzQTtOdVitur1c3qSSAZLOZkqwsKWJWiBQxOmDjxo0YjUZ5Agsg3v5+puaNGRivrGTw4ovxmkw0DQywpaQEU3w8bNgQuIMKAbW1pKWlkZqauugmBqeTtHkNwWw2G67BQerr6gBkSikE9PT0MDY2pptUksa2bdvwer0cj5BS5emeHma611QgGjb05ofR2FhQQP/EBJMR6DEKF1LE6ACz2Ux1dbUUMYFiaoqpkRF8Pt/cfSEYuOIK+q65ht7xcWxOJ7tqaqCoaHVm3vORlQXr1lFcUrJoqXb5k09S+eijGOddbY9brdSrqzea4VQSPPRm6tXQzL2R4osZiNBVGNCviNHKvWXn3uUjRYxO2Lp1K+3t7UxNTYU7lMhncJCJeVVJRofD/7Pmh9lZWTnXkTcYbNpEYmIiOdnZ5zw1XlODwecjs6npzGPj4+QB69atkysxIUBvpl6NSOrc65yYYPLUqXCHsWpODw2RYDJRrDW51AnlqkenbUGDTsnSSBGjEzRfzIkTJ8IcSeSjDA76+7WYR0e56O67yVMHLGoiZsell66tIul8JCVBWRlFRUXneC7Gq6vxGY1kzft/np6exjs4yEUXXcSJEydwu6Oi6E63HD16FJPJxObNm8MdylnkqyX/kbAS07dnD4q20hmBnB4epjw3F+OFOn6HGM1oLFdilo++/gdjGGnuDRAOBzN9fX4hkNXYiMHnYzYnB5gz9CUmJFB57bXBjaOqirjExDPdgFW8ZjMTlZWkdHURp666KYqCbXCQ+tpanE4nzc3NwY0txjl69Ci1tbUkBDqVGAC2bdvGiRMncDqd4Q5lSTyzs4xFcNrTarMxPjNDpY4qkzQyk5JIT0ykTYqYZSNFjE6QIiZADA+faXCnKGQ2NuJKSmJKLaNuHRqidsMGDOo06qARFwdVVeTm5p4z38laW4sAsub1jJmcnKS+tBSQ5t5gMjIyQm9vr+5SSRrbt2/H7XbrekW2/4038EXwaqFe/TAw15G8PCeH9pERfBE2TDNcSBGjEwoLC8nIyJAiZq3M69JrGRnBMjbG+MaNYDAwYbczPDXF5q1bQxNLaSlx6elkL/DGTFRWMl1UhHteOmtqaop69UtVipjgoVdTr4befTGROmJgPpqIqdChiIE5X4zd5WJwkREmknORIkYnCCHYsmULb731VtjmOEU8Ph+Onh4cqpE3Te2APFFZCUCP+qWweceO0MRjMEB19TkpJcVk4tRHPoJVLauGue69xUYjSUlJUsQEkUgRMXqtUhs+cgTPzEy4w1gT/pUYHaaTYJ4vRpp7l4UUMTpiy5YtTE9P09XVFe5QIpPJScZHR/13E8bG8BmN/i65/Wo33Do1dRcS8vMxZ2QsOaFceL3+n20TE2zZtImGhgYpZIOEJg605oJ6o6ioiLS0NBobG8MdyrkoCkMRXFatcXp4mPy0NJLN5nCHsij+CiXpi1kWUsToCOmLWSNW61kDH7v+5m84+qUv4VOHMnao7dFDWpViMEBZ2TmrMQBlTz1F7X33+UcjTE5OUl9ejtVqpa+vL3QxxhBHjx6lsrKSlJSUcIeyKEIIamtrOXHihO6E7GhjI86xsXCHsSacHg9do6O69MNobFCLEGSF0vKQIkZHSBGzNjzDw9gWLHV71asto9FIy8AAmZmZiwqKoFJcTEpGxtywyfmxJSSQODJC4uAgoPpi1AGSMqUUeGw2G6dPn9ZtKklj8+bNjI2NMaSmPfRCpI4YmE/HyAheRdG1iEmMj6cwPV2uxCwTKWJ0xObNmxFCcOzYsXCHEnkoCrbubv+qRtbx4+QePIjweABIS0vjRE+P/z0OKXFxUFx8jngaq62di1VNHbjdbmrU2UpSxASexsZGFEXxXyzolVr1c6GnCqWpzk7svb3hDmPNtOi4Mmk+5bm5dFutuNTvL8nSSBGjIxITE6msrJQrMatheprpeUvd6w4coOjVV1HU8uZZRWHSZgtfg7OyMjIyM8/qTWIrLMSZljYnYlTxtT49HYPBoFtjZySj+Uw0kaBXtM+onnwx/Xv2hDuEgKB3U69GeW4uXkWhMwInhIcaKWJ0xpYtWzh9+jR2OQBsZYyOMq0ad012O4kDA0yVlYHBgBCCLtUrUzevIiikJCYiCgrIm78aIwTWzZuJn54mRR2k57TbqSktlSsxQSBSRIzeVmLsw8NMnT4d7jACQuvQEInx8RQsYbTXCxXS3LtspIjRGVu2bEFRFF1dhUUC8/0wKZ2dCGCyrGzufkoKp9RVmrC2mt+wgZzs7LNGEVjVE1ayulQ/PT3NluJi2tvb/aJMEhhOnjyJ2WxmQyAnlweB3NxcsrOzdfMd0P/aa/6VwkhGURRODw9TkZuLIdQp5RUiK5SWjxQxOkOae1eHravL/0Wb1tEBnBEx6RkZnFBnJoX1KjwjA2NODlnzugXP5uRw9POfZ+Dyy4G5L9oKtTneqQgesKdHGhsbqampOWeeld7QKpQ0D084cU1NMa6TFaG1MjQ1xbTDoXs/DMD6zEzijUZZobQMpIjRGVLErAKbDZvmh1EU0trbcWRk4FKXjDPS0znR0eHvihxWNmwgRy2hBEAI3KmpZ21Sok7WPTlvLIFkbUxNTdHT06P7VJLG5s2bmZqaojfMZtq+115DmdfLKJLR87iBhZgMBkqzs+VKzDKQIkZnlJSUkJKSIkXMSrBamVKHKaIoDF5yCQO7dgFzZmlTZiYnm5r0MbV43TqSsrNJTEz0PyTcbnIPHSJTTR+sU0ux9ZJOiAY0QRgpIkYPvhjP7CzWKDKYR5KIgbmU0vD0NFOzs+EORddIEaMzDAYDdXV1cvzACvAODzOj9YcxGBi6+GJGtm8HIDU1lTa3G4fDET5T73yEgPXrz16NMRgoeuUV1u3fD0Cm2Uy8ySRXYgKIJgg3bdoU5kiWhx4qlPrfeAOfyxW24weaNrWN/4b5f3s6xu+LkeMHzosUMTpky5YtjI2N0d/fH+5QIoLpzk6/4DMs+NJNSU3lhPoloIuVGID168nKyvL3q1GMRibLy0nu7yfOZsNkMFCxbh0no8SLoAcipTJJI9wrMT63m9EDB8Jy7GDROTpKfloaifHx4Q5lWcgKpeUhRYwO2apOWZZN75aB3Y5Nm5fk81H/3//Nhj/9yf90Sm4uJ9RBkLoRMYmJmNatI1P1vsCZIZXpainrhtxcOru7z6wwSdZEY2MjZrOZMtXsrXcyMzPJz88P20rM4MGDeKKozYPH56PbaqV0wUR5PVOurhhJEXN+pIjRIdLcuwLm+WGSBgYwORw4VaOsxWLBVFDAiRMnEEKwcePGcEZ6NgtSShMVFShC+EVMsdq5V1YoBYbGxkY2btyo+8qk+dTW1nLy5El8Pl9Ij6v4fAzv2xfSYwab/okJXF4vZRGSSgLISUkh1WyWFUoXQIoYHaLl7aUn4sLM98OkqSsuU2ofkJSUFMjK4vjx45SXl59lpg07+fmkZGT4O/h6LRam168ntb0d4XazXq2ikimltTM5OUlfX1/EpJI0Nm/ejN1up7OzM6THHTl2DNfEREiPGWw61dXasnntDfSOEILy3FzaR0akP/I8SBGjQ9LT08nPz5dX4cvA1tXl/wNP7ezEGxeHTR2imJKSgiMpidOnT+vD1DsfoxFRWHjWaszQzp30XncdQlH8V4wno6g6JFxEWmWSRlh8MYrC0N69oTteiOhQfXGRtBIDc+Zem9PJkFZ9KTkHKWJ0ysaNG2lqapIK/Hw4HExrk359PpL6+5kpKEBRUwYp+fk0d3bi9Xr144eZz/r1ZGdnz1UsAeMbNzJ08cX44uNZn5FBnNHIyePHwxxk5BNppl6NcFQoWU+dYjYK0xcd6kpMJHli4IwvRqaUlkaKGJ2yceNGbDZb2Jtd6Rqr1d+a3zw2hsHj8a/CJCQkEL9unf8qVpciJjOT+MxM0hY0u9MqlIqzsmhsbg5TcNFDpIoYLa0cShEzGCWDHhfSMTpKTkoKKWZzuENZEbJC6cJIEaNTNBOq9MUsjc9qxWazAeDIzubwP/4jg5dcAkBycjJkZ+tbxMCZ1RiVvP37uehHPyJxcJDSrCw6BgawyxlKa6KxsRGLxUJpaWm4Q1kRqampFBcXhyydNNnezkwUXjT5FIWu0VFKI8gPo7FBipgLIkWMTtGuwqQvZmmme3rOSrf5EhLwqObdlJQUyMzk+PHjxMXFUamWMOuOoiLSMzIwGOb+FGfy8wHIaGmhLDsbRVFoPngwnBFGPFplkvYeRxK1tbU0NTXh8XiCfqy+3buDfoxwMDQ5yazbHXF+GIDkhARyUlLotFrDHYpuiby/6hhBW4mRImYJFAVbX5//bs7hwySqQx4BUvLywGLhxIkTbNy4kbi4uHBEeWHMZozr1vlnOtmKivBYLKSfPu3vLNooRcyqmZiYoL+/P+JSSRqbN2/G6XTS1tYW1ONM9/RgUwenRhuaH6YswvwwGmXZ2XRZrfikP3JRpIjRKXl5eaSnp0sRsxTT08yoqSTTzAxlzz7LOrXDqMlkwlJUxNTUFF1dXfpNJWmsX3+m8Z3BwER5OUmDg2xUV5VkmfXqidTKJA0t7mD7Yvpeey2o+w8nnREuYkqzs3G43QxNToY7FF0iRYxO0ZqzSU/MEkxM+EVMsroiM62aepPVVJImAHV/AsvLIy0z09+IbVLtc7NpYgKjEJxobga3O5wRRiyRaurV0AR4MH0x9uFhpqLYQB6plUkaJaqXp0umlBZFihgds2nTJqxWKyNyANg5OIeGcKsn9mTVjKhVJqWqTe40EaOrTr2LYTRiWLeOdLVL71RZGT6DgcSpKdZnZtLY3Q1jY+GNMUKJdBGzceNGhBBBXYnpe/VViOJURcfoKOmJiWQkJYU7lFWhiS9NjEnORooYHSN9MUsz3w+T3NuLNz6eWdVDkpydDUlJNDU1AREgYgAKCshSr7jcKSkc+cd/pP+qqyjLyaFzeBjHvN9XsnwaGxtJTEykpKQk3KGsisTERDZs2BC0lRjn+DgTUZyuVBSFztHRiE0lwZk0mFyJWRwpYnSMFDFL4PMxO7/J3cAAtoICMBgwGAwkFRcD0NTUhMlkory8PIzBLpPcXFLT0/0pJZ86abcsOxufotAsO/euisbGRjZt2hSRlUkatbW1tLS04FowoT0Q9O7ejRLi2UyhxGqzMe1wRGwqCSAzKYkUs9nv7ZGcjW7+soUQlUKIN4QQLUKIg0KIc9Z/hRDXCCFmhRAN826WcMQbCqSIWYLpaWbU3ilGp5Px6momqqqAuf4wQl3ROHXqFOXl5fqtTJqPyYRh3mRro8NB/uuv8071xHXs+HEIwkksmhkfH2dgYMDfriBSqa2txePxcFodDhooXFNTjB07FtB96o1Ir0yCOX9kSVaWFDFLoBsRA9wL/I+iKFXA94EHl9iuWVGU+nm32ZBFGGJKSkqwWCzS3LuQiQn/0EevxUL7rbcydPHFwJmhjy6Xi7a2tshIJWkUFPhFjGI0Uvjaa1ymppGOtbWBXE5eEZHuh9GoqakBoDnA5tveV19F8XoDuk+9EQ0iBuZ8MeN2O5N2e7hD0R26EDFCiFxgB/Cw+tATwHohREX4ogo/BoOBmpoauRKzgNmBgSWbfyVnZkJKCm1tbXi9Xv8JICLIyyM1PR2TyYQvLo7p9evJGxrCApzo6gJ5JbYiIr28WkP7DGser0DgttkYi4EUpb+8OgIb3c1HS4fJpnfnogsRA6wHBhRF8QAoc21Yu4HiRbYtF0IcUVNOn1lsZ0KIu4QQvdpNa00fiWzcuJHe3l7/jCAJ2Pv7/T9X//a3FL3yytwdIUhW/TCa8IsoEWMyIfLy/I3vpjZswOjxcGtKCi0DA1LErJBoWYmprq4GAiti+vbswRcDZfsdIyMkJSSQnZwc7lDWhDYyQaaUzkUvIma5HAGKFEXZBrwH+LQQ4n0LN1IU5W5FUYq0W3IEf4C1dEggv8AiGq8Xu2rqNc3MkNbeTpwq8CxmM0Z11khEVSbNJz/fX6U0WVYGwE1xcfRYrUz094PDEc7oIopTp06RmJhIcfFi10KRQ1paGvn5+QH7DvDMzmI9fDgg+9I7HWplklAnxUcqciVmafQiYnqAfCGECUDMfeKKmVuN8aMoypSiKJPqz73AI8CVIY41pMgZSguYmjqnyZ2tsBCApKQkUAWA9oWvXcVGDHl5pKSlERcXh33dOtyJiVzudOJVFBpOn5arMSugqamJ6urqiK5M0qipqaGpqemsWWGrpX/vXrxOZwCi0jcTdjvjdnvE+2EACtLTiTMa5UrMIujir1tRlGHmVlk+qD50O9CrKErr/O2EEPlCCIP6cwpwExDViV05zfpslHmm3oVN7pJSUyE1FZgTffn5+aSlpYUn0NUSF4fIzZ1rfCcEfVdeyVG18qqhrU2KmGUyMzNDT09PZKUTz0NNTQ3T09MMzJsPthq8Ticj6niOaKcjSvwwAEaDgeLMTCliFkEXIkblU8CnhBAtwD8BHwUQQtwnhLhZ3eZ24LgQ4hjwJvAi8EA4gg0VFRUVmEwmuRKj4hgcxKtWVCxscmdZtw6EQFEUmpqaIvcEVlDg7947vHMntu3bAWjs7kaR3ZuXRUtLCxCBK3FLEChzb/8bb+CNkZRkh/q3Esk9YuZTmp3NwMQEjhjwMq0EU7gD0FAUpRm4dJHHPzHv53uAe0IZV7iJi4ujoqJCihgVm7r64m9yV1gIBgMIQZKaVurv78dms0WeH0ZDrVISqiArzsoik7kvZbvVStLMDERoC/VQoZ3sI1bILmC+iLnuuutWtQ+fy8XIm28GMixdo/lHoiGdBHMiRgG6x8aoyssLdzi6QU8rMZIl2LRpE21tbThjII99Xrxe7MPD/rst738//VfOWaISLRaMC/wwEXsCi4vDmJs71/MG2PL733NcCLpGR5mampL9YpZBxH8GFhCIlZj+N97AE0N9RjpGRjDHxbEu0lLKS1AiK5QWRYqYCGDjxo34fD7/EnnMMjnpN/ViMDBdUsK0OhMnKSkJ1C+riCyvXkhenj+l5MjMpEBRSBobY3x8HGRK6YJojeEqKyvDHElgKCoqIjExcdUixud2M7xvX4Cj0jcdo6OUZmdjiPDKJA3/DCUpYs5CipgIQI4fmEMZH8euXknGj49jmNeGPzE11Z9iidjy6vlo5l5gcsMGAK7xemnt78c3bzVKsjhNTU2UlJSQmJgY7lACgsFgoLq6etUiZmDfvphahbE5nYxMT/v7q0QDxVlZCGSZ9UKkiIkApIiZwz4wgE8dVlfxxz+y5ac/9T+XWFAA6hVXU1MTSUlJFKoemYgkKQlzVhYJCQlMl5TgFYLrgM6REWxjYyCbHy6JtmoZLaZejZqaGnp6elhp806f283QG28EKSp90hUl4wbmo6XGZDrpbKSIiQBqamoQQsS8iJlR+8Lg85E4PMysam4T80y9MCf2tPcsosnNJT0jA198PCNZWVwFZ3wx8otsSXp6epidnY3sdOIiaL/PStPKA/v341HbEsQKXepqRXEUrcTAnLm322rFG8WTx1eKFDERQGJiIiUlJbEtYjwev6nXMjqKweNhZt26ufsWCwatVf/UFP39/ZGdStLIzSVDTSlNl5aSADj7+6WIuQDRZurVWI251+d2M/z668EKSbd0qyKmJMpETFl2Ni6vl4GJiXCHohukiIkQNm7cSHNzs79HSswxPe1vcpc4OAiAXRUxSUlJoJ7sNUNnVJzAsrJITk3FaDQyefXVFMTF8abNhm1mBu/wMASge2s0on0GojGdBCsTMQP79+OO4Nlxq6XTakUARepU+GjBX6EkfTF+pIiJEDZu3IjT6aSzszPcoYQF3+Sk39SbpM5O0lZikjIyQDVwRkVlkobRiCE3l9TUVHwWC+uys+keGwNFYXpsDCYnwx2hLonWlZjKykqEEMsWMT63m+EY88JodFutFKSnk2DSTSu0gOCfoSRXYv1IERMhaFeV2lVmrDE7NOSfGxNns+FJSMCpppASCwr820VFZdJ85lUpvc1i4TPT08zMzjI5NSVLrZegqamJlJQU8vPzwx1KQLFYLJSWli5bxAzs3487Bg3gXp+PnrGxqPPDwBmjshQxZ5AiJkKIdRGjTa4GaHvPe2j4whdACIQQJM47WTU1NWE0GikvLw9HmIFnnoh5h9vNtwDb6dNMT02BLLVelObmZqqrqyPf2L0INTU1tLS0XDCtHKteGIChyUlcXm/U+WEA0hITyUhMlOmkeUgREyHEuohxLDhh++LjgTnTs2Fe3vvUqVNs2LCBhISEkMYXNJKSiEtPJzExkYniYgAS2tqw2+24h4dBzlE5C83YHW2pJI2amhqcTiddXV3n3W5g376Y9MIAdI2NAdFn6tUoycqia3Q0IBPNowEpYiKEvLw8UlNTY1PEOJ3Mqv6PpP5+8g4eJE79gp5v6nW73bS2tkbfCUzt3muorMQN5KiTjKcmJ+UIggVElbF7EZZj7vW5XAzF6CoMnCmvjlYRU5qdzZTDwViMlc0vhRQxEYIQgurq6tgUMVNTflNvRnMzJc8/j0mrVMrMBLMZgPb2djweT/T4YTTUlFJ+Xh4HgcqJCfD5mJiYkCmlBURrZZLGckRMrM1IWojW6C6aRQycEWuxjhQxEUR1dTUDAwNzfUJiCM/4OC51xEDi4CA+oxGH+oc839QbVZVJ88nKIjElhcSEBA4lJJDs85E4NMTk5CTKPK+QJHorkzQuJGJ8LlfMViRpdFmtJMbHk5WcHO5QgoJmWJYiZg4pYiII7eoy1gZBzqjpE4DEoSFmc3NRjMZzOvVG7QnMYMCQm0tycjIHU1P5OfCZRx/lrkce4c3DhyFGvQ+L0dTUhMFgoKKiItyhBIWcnBwyMjKWFDF9e/fimZ0NcVT6ontsjJKsrKg0dgOUqB7AbiliACliIopYNffOqimTuOlp4m02ZtRxA0lJSQjVDwNRLGIAcnPpnpjgt6Oj/G9gj83GnpYWrvmXf+HYq6+GOzrd0NzcTGlpKWY1xRhtCCGoqalZVMR4HY6Ym1S9kBl18GO0ppIA8tPTiTMa5UqMihQxEURMihhFwaH2Q0lUUydap97ExES/qRfmRExubi4Zav+YqCInh5+88MJZFQk+RcHj9fLtH/wgjIHpB6/XS0tLS3SK2HnU1NQwMjKCdcFJrG/PHrwOR5ii0gfdUV6ZBGA0GCjKyPD/rrGOFDERhNaxM6ZEjN3OrJou8SYkYN24EVtREQCWrCxQS60VRfH3B4lKkpJo7O1FAd4PDALbmBMyR06dglgdRzGPzs5OXC5X9H4GVBa7mPHY7Yzs3x+ukHRDtJt6NYqzsugfH8ct/+6liIkkLBYLxcXFsSVi5lUm2davp+3228+sxMwz9Y6MjDAxMRHVJ7D6mhoEMArkAdcABiGoLSwEeVUW9eXVGouZe3t378brdIYrJN0QrdOrF1KSlYVXUegbHw93KGFHipgIo7q6mpaWFnwxMordOTq6eHfSBZ16o720FuBfv/IVTEYjbwBu4FrAZDDwyWuvlaXWRLknah4LRYx7eprRgwfDGZJu6B4bQwDro2zw40KK1d9P+mKkiIk4qqurmZ2dpbe3N9yhhAStMsnocFD7i1+Qc+QIAOaEBIzzvC9axVY0i5itV1zBS//f/4fRbOYAcI3BwC8/8hEKkpLwyVJr/0k9mj8DABs2bMBkMvl/356XX8bn8YQ5Kn3QZbWyLi0Nc1xcuEMJKlq6TFYoSRETccSauVcbN5A4OEjS0BBGrV9MYiKkpvq3096Pqqqq0AcZKlJSuHTrVi6vqGA3kOzzsRXw+XxM9/dDjJfWNjc3k56eTm5ubrhDCSpxcXGUl5fT0tKCY2yMsaNHwx2SLvApCt1Wa9T7YeCMiJErMVLERBwxJWK8XmbVP1KtMkkrr7akpfk79cLc+2EymdiwYUPo4wwVQmDKy6Ni3Tr2qA+l9PQAzHXvjfGp1k1NTdTU1ERtf5D5VFdX09bWRsfzz+OT5k5gbvCj0+OJej8MzA2CTLVYpIhBipiII6ZEjM3GrGrqTVLTSpqp16KKGY3m5mY2bNhAXJQvI5OVRc369ewB/ufqqxnasQMg5kcQjI+PMzw8HPWpJI2qqio8Hg+Ne/eGOxTdEO0zkxZSkpVFjzT0SxETaRQWFpKYmBgTIkaZnGRWTZEkDg3hTEvDa7HM3VfFDIDH46GtrS02TmCZmdSVlWEH3vR6wTD3J+x0Opnt7oYYMXwvJBaM3fPRfk/piThDLPSImU9xZibjdjtTMZ5GliImwjAYDFRVVcWEiLEPD6MoCsLrxWy1YldXX4xGI+Z5voeOjg48Hk9snMDS0thaXY0ArMPDpLe0+Cd6T4yOxuxU61gpr9ZYr5raZTrhDLFSXq0hfTFzSBETgVRXV9Pd3e3vnxKt2OfNTDp9550M7NoFqKbetDT/czFh6tUQgrTiYvLT0ykZHKTqscdIa20FYHJyEgYHwxxgeIipzwBg6eoC5AlsPt1WK5a4OHJTUsIdSkiQFUpzSBETgWgrDqdPnw5zJMFFm5mkGI1MlpdjKy4GIDEpCeZNqI21VAJZWVSsW8fTMzPAGXPv1PQ0bvXnWKOlpSWqBz/OZ+L0aRLGxkhOSIj5E9h8uqxWiqN48ONC5DTrOaSIiUBiwtzrcuGYnATAZLMh5vXBMGdn+70gEBs9Ys4iK4uaoiI6vV5mUlP9IgZFYWJwENT3LZbQBj8mJCSEO5Tgoij0PP88QghKsrLk/ByVWZeLoampmPHDABRlZGAQgq4Y/wxIEROBxISImZ72VyaVPfMM23/wA4RaSjrf1Atz70NaWlrU9wfxk55ObVkZAF1ZWZjHxvy+mLGxMZiXhosFvF4vp0+fjolU0sixY8yq7QbWZ2ZitdmwyXEDMWfqBYg3mchPS6NHrsRIIg3tyzqaRYxnbAyn+uVsGR7GkZGBYjQCnDVuAObeh6qqqphZRsZgYHNdHQAn1GqtZC2lNDWFp68vbKGFg+7ubpxOZ9SvxCleL/0vv+y/Lz0RZ4g1U69GsVpm7Y3RqkSQIiYiSUlJoaCgIKpFjF292jS4XJgnJpjNyQEgYcG4gampKQYHB6P+BLaQqi1bANgjBDPr1oEq4BRFYaK7G6Lc9D2fWEknDu7fj3PewD8pYs6gvQelMSZiSrKycHm9DMVgCllDipgIpbq6mubmZhRFCXcoQcGumnoto6MAfhGzcNxArJzAFlK4aROJCQkcsNtp/MQnGJ9XWjw2Ph5TVUqxUJnkc7kYePXVsx6Txs4zaO9BtA9+XIi/zDqGfTFSxEQo1dXVTE9PMxilJyuHKl4sqpixq36XxIwMmGfejLnKJBWRmUnFunWLnsAmJybwxMiAUIiNz0Dfa6/hWbC6pp2wpbl3TsTkpaZiiY8PdyghRQpZKWIilqg297rd/sqkhIkJ4MxKjHmBeTcWrsIXxWikZsMGhqamMHV1Ufnoo6SovUMURWGyowPUYZnRTktLC4mJiRQWFoY7lKDgnp5m6I03znncHBfHutTUmE8nKYpCz9hYTJl6NYo1IRvDnwEpYiKUqBYxNhsOhwOAvmuu4chdd+FUfTBJi5h6ASorK0Mbow6oUT8DQ1NTZJw+TWpHh/+5MasVVF9RtBPtxu7uF1/E53Yv+lyxWmbti9K08nIYmZ7G7nLFXCoJICclhcT4eLkSoweEEJVCiDeEEC1CiINCiNoltvu4EOK0EKJNCPELIUSUT/xbnGgWMd7JSVzzVhE8iYkgxDnjBmDuKry4uHjOKxNjVNfO/Yk0CIE3Lu5Mvxjmuvd6Y6BKaWZmhp6enqhNJdkHBxlraFjy+eKsLBxuNyNTU6ELSmfEYnm1hhCC9ZmZciXmQgghviSEuFoIkXrhrVfNvcD/KIpSBXwfeHCROMqAfwOuBCqAPOCTQYxJt5SUlJCQkBCVImZ2ZAQAo8NBzpEjmNU/UIvFcpap1+fz0dLSErUnsAtRXV8PQOf4OLaiIpL7+vy9dHw+H5OtraDej1Za1ZEL0foZ6H7uufOa9+X8nDOplFgUMTD3ew9PTzMbI+njhSx3JaYQ+BbQpa6CPCqE+GqgghBC5AI7gIfVh54A1gshFvYQvwN4SlGUQWXuL/vnwAcCFUckYTQaqaioiEoRo1UmJQ4NUfbMM6Sr4xUSk5PPGjfQ19eH3W6PPT+MSqXaK6bbamV6/XoMHg+J8xrdjY+OgioIo5VoNvVOnD7NVFvbebcplubemO0Ro+EvtY/Rz8CyRIyiKP+oKMq1iqJkALcBRmB7AONYDwwoiuJRj6cA3UDxgu2Kga559zsX2SZmqK6upqOjw98ULlrwVyapJ2C/qXfBuIFoPoEth9S0NPJVT8T0+vUAZ6WUJiYm8EV5Silqjd2KQs9zz11wM7kSM/e7xxuN5KUGM1GgXzQvUKx+BlbsiVEU5ThwJ6Dbd0wIcZcQole72dSW7NFGdXU1Pp+P9vb2cIcSOHw+XGpDL03E2LUeMQvGDcRqj5j5VJeX0221YisooOOd72RsXr8Yr9fLRFNTVKeUtM9AtImYoUOH/ANQz0deWhoJJlNMeyK6rVbWZ2ZiNOjG4hlSYr3p4XI9MR8UQvi/HRVF8QLrzvOSldID5AshTOrxBHMrLN0LtusGSubdL11kGxRFuVtRlCLtljwvBRFNRKW5127HMTsLQOLwMB6zGXdKCgBJBQVnbRrrKzEwd/K2OZ2Mut2MbN+Oa143Y4DxkRFYxskwUmlubiY/P5/UKLoK97lcDLzyyrK2NWjGzhhNJbg8HgYmJ2M2lQSyV8xypes7gSeFEJNCiD1CiCeZM9UGBEVRhoEjwAfVh24HehVFaV2w6RPAzUKIdarQ+TTwu0DFEWlEo4hRpqfnyqsVBcvIyFwqSYi5cQPp6Wdt29zcjNlsZr2aSolFqjdvBs5chcVNT2OYl14cGxvD09W16GsjHUVR/OXV0UTfq6/imp5e9vbFWVkMTEzgnDfpPVboHR/Hpygxa+oFSIyPJyclRYqY86Eoyt8pilIDFAFfBx4C/ibAsXwK+JQQogX4J+CjAEKI+4QQN6txtAP/CrwOtAIjzFU1xSTROAjSabXi8/kwuN1MFxczVVoKgCUxEdLSztq2ubmZyspKDDG6jAxnREyX1Up6czMX/fjHZDY1+Z9XFIXxpiaIwhPc8PAwU1NTUbUS5xwfZ3jfvhW9pjgzEwXojcHVGE28F8dgj5j5lKiDIKN1DM35MK1kY0VRpoHXghGIoijNwKWLPP6JBfd/AfwiGDFEGpmZmWRnZ0eViNEqk3zx8Zx+3/v8j5vT0mBeS3GHw0FXVxe33357yGPUE5qQ7RobY6ZirpgvubeX0a1b/dtYR0bIGRyEoqKwxBgsojGd2P3883iXaGy3FPPNveUL+ihFO7FemaRRkpXFoc5ORqanyY2i1OpyiN1L2ChBGwQZLcyqlUkLsajmXo3W1lYURYmqE9hqKCsrIy4ujp6xMdypqThTU0leMDdpanoa57xuvtFCtFUmTXd2Mt7YuOLXFcdwiW0sN7qbT3EMm3uliIlwqqursVqtWKPkw+tUf4/8vXsp/fOf/c3bLHJm0qKYTCbKS0vpUSu6bEVFJI6MYFTN0QAoCuPNzbDCK3y9E1UrMYpC11/+sqqXxvL8nG6rlYzERFItlnCHElZieZq1FDERjvYFrpWaRjROJy61HD6juZn01lYUoxGEOKe8WjuB1cwrKY5Vqqur6bVa8Xi92FSTc/KC/jCjIyMwrxFeNNDS0oLJZKKsrCzcoayZoUOHsK9yIn2qxUJGYmJMGju71PLqWKckhnvFSBET4URVhZLNxuzs7NmVSYA5IQHDgjxvVF2Fr5GqjRvx+Hz0TUwwXVSEz2AgQZ0CrmG325mJBqE7j+bmZsrLyzGZVmTt0x1eh4O+v/51TfvQBkHGEpN2O5OzszGfSoK5fkHxRmNMrsZJERPhRFOFknt8HLfbTcL4OEaPh1k1hWSxWEDtFaPR1NREXl4eaQsqlmIRTch1W63Y8/I4/JWvMLz93IbaY6dPQ5R0d3a73bS3t0eFiO19+WU8dvua9lGSlcXU7CwTa9xPJCH9MGcwGgysz8yUKzGSyKO8vByj0RgVIkYb/LiwU685PR3izgwr1/qDRMMJLBBo70PvxAQYDChxiw92t46OokTJGIKOjg48Hk/EfwZmh4cZOXBgzfspjsF0gqxMOptY7RckRUyEEx8fT1lZWVSImCVnJi0w9Q4PDzM5ORnxJ7BAoa3G9akppISxMQpee80//VvD5XIxHQWfE4iedGLnn/+MLwBjIUqyswEpYmKZkqysmOwXJEVMFFBdXU1rayveCJ+Ro4mYqQ0b6LnmGmbVL+bEvLObQ0tT79nk5OSQnp7u/1I3j41R9NprpC0yU8t6+jTMzIQ6xIATDdVp1rfeYjpApe+xOAiy22rFKARFC0ZtxCqx+BkAKWKigurqalwuF52dneEOZfV4vTjVMuGZggIGrrgCX0ICCLFkeXWkX4UHCiEE1dXVdKorWDa1qV3yvInWGmNjY/iiYAxBpA//9LlcdC9jSvVyKUxPx2gwxNQJrMtqJT89nTijMdyh6IJY7RUjRUwUEBVl1jMz/plJ+Hz+hy1mM4ZFxg1A5J7AgkF1dTXDk5PYHA68ZjP2nJxzmt7B3GTrsWPH5t7nCKa5uZm0tDRyFjRBjBR6XnoJ9wrmI10Ik9FIUUZGzJzAvD4fvePj0tQ7D7kSI4lYoqHMWhv8GD81xY7vf5+CPXsAtTJpwRTypqYm4uLiKFXnKknOpFV6JiaAudWYhKkp4heUWgOM9PSAumoTqTQ1NVFTU8PcHNjIYnZ4mJH9+wO+3+KsLHrHx/FEeFp5OQxOTuL2eqUfZh4pZjOZSUkx1/BOipgoIBrKrGdHRlAUBfPoKAavF4/agTMhMxMW9AFpbm6moqIi4vuDBBJNyA6qV/f+lNIiqzHT09PMRvCq3fj4OMPDwxHriep8+umAmHkXUpqVhVftFxTtdMnBj4tSkpVFt9UaU4MgpYiJAtatW0dKSkrEixgAi/rlNKteYS2cmeRyuejo6IjYE1iwOKvMGpgqLma4vh7nEn10Ro4fB5crVOEFlEhOJ442NDAdJO+atirRucT8sWhCEzEynXQ2xVlZTDscjMdQvyApYqIAzdgZySLGoYkY9QvYoVYmLTT1trW14fV6I/IEFkwqKioQQtClmqNdGRl03nQTM0tMrh4dHsbX3R3KEANGU1MTEHnVad7ZWXoCaOZdSGkMGTt7ZKO7RYlFX4wUMVFCdXU1/f39TAfQLBgyFAWn+qVkHh3Fk5CAOzkZIcSS5dVSxJyNxWKhpKSE9sWuwhdZWvZ4PIy/9VYIIgs8kVpi3/Xss7iDWN4eSyewLquVxPh4shb45WKdkhgSshpSxEQJEV2h5HDgUL/cLVbr3CqMEFgsFoSsTFo2NTU1tPX14VWru9Kbm9n64x+TskRJ9UhbGyxi/NU7TU1NGI1GysvLwx3Kspnu6GC0oSGox0hLTCTNYokZEVOclRWRxu5gUhxDQlZDipgoIaJFjM02V14NnPj4x2m/6SYAzEtUJoEUMYtRU1ODw+lkbHYWAI/FQsL09DkTrTWmpqaYjcAUZFNTExs2bCA+Pj7coSwLxeul409/CklZe0lWVtSfwOwuFyPT0/7JzZIzFKSnYzIY5EqMJPKI5Aol1/g4HnXehzs1FYc2biAzEwxnf0Sbm5vJyckhU36BnYOWXumfmgJgJj8fn8GwaIWSxuixYxBBJblut5u2traISiX17d6NI0QnlZKsLCajfBCk5oeR5dXnYjIYKMrIiHohOx8pYqKEyspKIDJFzKzq40gYGyNxYAChnlQXzkwC5ODH86Cd2HvVFJESF4c9L29uJWaJVYDRgQGUgYGQxbhWOjo6cLvdEfMZmB0eZnDv3pAdLxZmKGnVV6Xq7yo5m+KsLPomJmKiXxBIERM1JCUlsX79+ogUMdpVau7hw2y+/35/g7bEBSJmdHSUsbGxiDmBhRpNxHTM6xNiKyoizm4nQa1aWojb7WbsyJFQhBcQIqoySVHofOopfCGcKhwL5l5ZXn1+SmKoXxBIERNVVFdX09LSEnGNjrTKJMvoKD6jEWd6OgaDAYusTFoRubm5pKenn1WhZCssBBZveqcx0twcMQbfSKpMGtq/n+kQz6mKBRHTOTqKANbLlPKixJq5V4qYKKK6upqZmRn6ljBy6hJFwaVeMVhGR3GoPhiz2YxITT1rUylizo8QgpqaGk739IBatTFZXk7jRz/KWG3tkq+bmppi5vjxUIW5JiLF2O0cG6P3xRdDftxYGASpDX40x8WFOxRdEgtCdj5SxEQR2tWp9kUfEczO4pydxeB2Ez85yazW5C4xEZKSzto0olIJYaKmpoZhqxWXWmbttViYKSxEucCk36GjR8HpDEWIa6KpqYmsrCyy9eyHUBTa//hHvGHoiBztgyC9Ph/dVqv0w5yHWOsVI0VMFBGRIkadXm22WhGc6dRrzs5etDLJZDJRVlYWhkAjA+0zMDCv6aHR4SCtrQ2D273k66wjI7gioDy/ublZ9yJ2aP/+oI0WWA4lUTwIcmBiApfX6+9OLDmX9MREUmOkXxBIERNVbNy4EYBTp06FOZLl4xofx+v1YpydxZWS4l+JMS+YmQRzJ7Dy8nLi5DLykmgn+B6bzf9YztGjVD/yCEnnSTMqisLwwYOgruDokdHRUaxWq65TSeFKI80nmo2dndLUuyy0QZCxgBQxUURBQQEpKSkRJWK08urpsjIavvAFxjZtAjhn3IDWH0TPJzA9oImYznlG3fNNtJ7PcE8PvgtsE050n05UFDqefDIsaaT5RPMgSG11QaaTzk9xZibjdjtTauPLaEaKmChCM3ZGkog5pwmYEBgMhnNWYjo6OvB4PFLEXIANGzZgMpnOqlDSmt6lXECgeDweRvbvD3aIq0bvlUlD+/cz1dER7jCiehCk7BGzPGLJ3CtFTJSxceNGBgcHmYiQpWStvDp/714yT5wAmKtMSkk5azvdX4XrhLi4OMrLyznd04NB9RQpJhP2devm0kkXKL8fPn0a1P8TvaHnyiTHyAi9L7wQ7jCA6D6BdY6OkmaxkJ6YGO5QdI0m8qJxNW4hUsREGZovJiLMvVp5tc9H4Z49ZGsixmI5pzJJllcvn5qaGtq6ujDN8w7ZioqIm53FfAGBMjs7y/jhw8EOcVU0NTURFxenO2O34vXS9vjjeM9jnA4laYmJpCcmRqWI6bJapR9mGfhFTBR+BhYiRUyUoa1URERKSS2vTpiYwOD1njH1ZmUtWpkEUsQsh5qaGrxeL8Pz8uHT69djz83FtIwc+fBbb4EOZ+80NzdTUVGhO2N371//yozORjcUZ2ZGnYiZsNuZnJ2lTKaSLkhhRgYmg0GuxEgij4haiVHLqy3qH5pDvcJaqjIpMzNT3/1BdIK/QmmeYBnfuJETn/yk3+R7PiYnJrAdPRq0+FaD0+mkvb1ddyJ2ur2dwddfD3cY5xCNgyA71O+JEvkdcEFMBgPFWVlSxEgijw0bNhAXFxcRKzFaebVZ/UPzN7pbRMQ0NTVJP8wy0d6nLnWa9Wro379fV6sxbW1teL1eXX0GvLOztP/hD7oc8xGNgyC7NBEj00nLojQ7m/6JCRw6SXMGCyliooy4uDgqKioiQsRo5dWWeSJGCHFOefXIyAijo6NsUsuvJedHW61oHxk56/H0lhYqfv97DMvozDsxPs60jgZD6rEyqeOpp3DqdOZUNJp7/eXVUsQsi9KsLHyKQrdOjfqBQoqYKGTjxo20t7fj1Hkbea0yyVZUxMiWLXgtlkVnJp08eRJAiphlkpGRQV5eHqd7e8/yj5jHxshsaiK5v39Z+xk4cEA3qzF6q0waOXSIMdWIrkdKo1DEdIyOEm80kp+eHu5QIoJYqVCSIiYK2bhxIz6fj9OnT4c7lPOi9YgZ2baNjptvBsCySGWStqqk+X0kF6ampoam1lbMZrP/seVMtJ7PxPg4UzqpVNKTiLH399P9zDPhDuO8FEThIMguq5XirCyMBnnaWg5lUsRIIpWIqFCaN716PgmZmbBgWKFciVk5NTU1TE1NMa1Os4YzTe+SVzDlXC/emObmZvLy8sjIyAhrHD6nk7bHHtNNOfVSmIxG1mdkRM0JzOF2MzAxIf0wK6A4KwuBFDFBRwhhEEL8RAjRJoRoFUJ89jzbdgohmoUQDertzlDGGilERIWSWl6d1NvLpl/+krTWVkAd/LiAkydPkpyczPr160MdZcSiCdnueQJEMZmw5+fPiZhlmlGnJieZPHQoKDEuF0VRaGpqCv8qjKLQ/sQTzEbI6kZZTg594+M4PZ5wh7JmusfGUJCdeleCOS6OgvR0f1VXtBJ2EQN8ENgEVAEXA18RQtSeZ/s7FUWpV2+PhiTCCEP7stf1SoxaXp04PExyfz9CPakuNPXCnIjZuHEjYt6qguT8+EXMvEGQMJdSMi2j6d18wr0aMzQ0xOTkZNhNvYOvv86Ynv+mFlCWnT1n7IwQ0XU+ZGXS6ijNzqbbasWj48Gua0UPIuZO4BeKongVRRkDHgU+EOaYIhpt1ULPIsY9MTFXXq2eTGezskCIc8qrJyYmGBgYkH6YFaKd8NuHh8963LppE51vfzueeV6ZCzE9NcV4GGcq6aEyydbVRe9f/xq246+GMvVvaWGVWiQiBz+ujtLsbDw+H/3j4+EOJWjoQcQUA13z7neqjy3Fr4UQx4UQ9wshzm0oIgHmUkrNzc34dKrAtfJqs9WKz2DAmZ6OOSEBQ1raWdtpQkz6YVZGcXExZrOZ0z09mEwm/+MzRUUM79yJZ4F5+kL079+PEqYvQs0TFS4R456aovXRR/F5vWE5/mrRjJ3RkE7QfofizMwwRxJZRNNnYCmCLmKEEPuEEKNL3FZqcrhKUZQtwDZgFPjVEse8SwjRq91sC5bUY4GNGzcyOztLd3d3uENZFMc8EePMyACDYW5mUnLyWdtJU+/qMBgMVFdX09TWNlfxtQCjw7Gi/c3MzDD80kvL9tIEksbGRgBqa8+XZQ4OitvN6d/8Btf0dMiPvVZKsrIwCBEVJ7Auq5X8tDQs8fHhDiWiKJUiZu0oinKpoijZS9x6gG6gZN5LStXHFttXt/qvG/gRcOUS292tKEqRdktecGKMBfReoeQcG0N4vSRMTJwZN5CWBvNWDUCKmLVQU1NDd3c33gWpo5Jnn2Xbf/3Xsprezaf3xAlcbW2BDHFZNDY2kpKSEnpjt2rktS2zr47eiDeZKMrIoDPC00mar0f6YVZOLJRZ6yGd9Djwv4QQRiFEJnMemXMMu0KIJCFE+ryHPgDoa8CLjtA8JLoUMfPKq1vvuIPBSy4BFp+ZdOrUKRISEigtLQ1hgNGBJmT7F4gVZ3o6QlFIWuHQQq/XS++LL0KIy4sbGxvZtGlTyI3d/a+8glVdBYpUynJy6BkbwxXBFUqDk5M4PR45M2kVJJvNZCcnSxETZB4CmoDTwEHgbkVRjgMIIW4WQtynbpcHvCKEeEsIcRy4GvhwOAKOBLQTmC7LrO12nA4HitHIRFUV0yVzC3GW3NxzNj158iQ1NTUYF/SOkVwYTch2LJihtNKmd/MZ7e9n8sCBtQe3TEZGRhgZGQn5Stz4iRP07d4d0mMGg7LsbLyKQk8Et57XTsBy3MDqKM3OpnN0VJczvgJB2EWMWpX0D4qibFAUpVxRlB/Pe+4pRVE+of7crijKRYqibFEUpU5RlFsURekMW+A6Jzc3l4yMDH2uxNjtOBwOjA4HYp5ZMnGBiLHZbHR1dclU0irRPCStQ0NnPb6apnfz6XntNZRFGhUGAy2dGEo/zExPj24HO66UDerqZiR7ImRl0tooy85m1u1maA0DYfVM2EWMJDgIIdi4caMuRYx7fByPx8P6l15ix//9v5jsdhISEjAumImildbK8urVUVVVhclkormn56yVLCUuDnte3oqa3s3Hbrcz8MILITH5htrU6xgepuXhh3XfkXe5aJ6ISC6z7pQ9YtZEtM9QkiImiqmpqcFqtTKqsw/v/PJqb0ICHotlroJGViYFlPj4eKqqqjjR1HTWDCWYG7ppmp0lfpVXZwMnT+JURWYwCaWIcU9M0PLrX+PWwZiFQFEcBRVKnaOjpJjNZK6wLYBkjmivUJIiJorRq7lXG/xotlrnKpOEICE1FRaUT0oRs3Y2b95MR2cnvgUipv+KKzj8la/gWtCXZ7l4vV46/vIXlMnJQIS5JI2NjaSmplJUVBTU43hnZmj+1a9wBPn3CTX+1vMRuhKjKArto6OUZWfLjt2rJNorlKSIiWL0KmKc4+MYHQ7iZ2ZwqM2rlpqZZDKZqKioCHWIUcPmzZsB6FqwuuBJSsK3xp4bUxMT9D31FASxCVwoKpN8TifNv/oV9ij9ki/LyaF7bAxPhDXrA7DabEzNzlK+iOlfsjwyk5JIMZvlSowk8tBlhZJaXn3WuAEWr0w6deoUlZWVxMXFhTTEaEJLw3QukjZK6usj++jauhT0nz7N5N69a9rHUgwPDzM6OhrUVJLicnH64YexrbDcPJIoy87G6/PRHYEVSq3q2IzyRdovSJaHEIIytUIpGpEiJoopLS3FbDb70zK6wOHAOTtLgvqFqjW6Wzj40eFw0NbWJlNJa0RbiTm9oEIJoOD11yl75hkMLtfqD6AotL/6Kq6OjtXvYwmCnU70ORw0P/ggk52dQdm/Xojk1vOaIVmuxKyN0uxsJmdnGZ+ZCXcoAUeKmCjGaDSyceNGTpw4Ee5QzjAzg9PpZKy2liNf+hKT5eXExcVhWlCZ1NLSgs/nkyJmjZSXl5OQkEBLd/c5KRlbYeGqmt4txO120/7kkygBHu8RTFOvd2aG5l/+kqmenoDvW2/4y6wj0BfTpsa8Qa7ErIlorlCSIibKqauro6+vj3GdTDH1Tk/jdrtBCL8vw2KxQErKWdtJU29g8AvZ5uZzZijZVLPsavvFzGdqbIy+P/0JAtgZNlgixjM1RdP99zMdxSmk+ZRmZyOI3JWYrORk0hMTwx1KRBPNFUpSxEQ5dXV1ABw/fjzMkcyhlVenNzeTODgIgCU1FRISztpOMyPLHjFrp7a2lt6+PlwL5lLN5OejCEFSAEQMQH9TEyN//nPAjL5aZVKh2mE4ELjHxmi6/35mInBVYrWY4+LIj8AKJZ+i0D4yIv0wASCSU4oXQoqYKEdvIsYxNgaKQvkf/8j6l18GIGGRJlYnT57EYDBQVVUV6hCjDs0X0zk7e9bjvvj4uaZ3vb0Ba1zXceQIo88+Cz7fmvajKAqNjY3U1tYGrDLJ1tpK4733Yo9Ag+taKcvOpstqxbPG/5dQ0j8+jsPtln6YALAuLQ1zXJxMJ0kiD72JGNf4OPFTUxg9Hn9l0mKDH0+ePMmGDRvOSYFIVo6/QmmRUQHj1dVMbdiAIVBpIEWh/cABrC+8sCYhMzw8jNVqDUwqSVEY2buX5ocfxhVFjexWwoacHDw+H306SSsvB+mHCRwGISjJypIrMZLIIz8/n8zMTN2IGOf4OGa12Z3WI2bhzCS3201LS4v0wwQIbSVm4QwlgP4rr6T9llvwBbKMXVFof+MNxl95ZdUrPIGamaS4XHT9/vd0PP883gjskxIoInH8gL8ySYqYgFCRm8vI9DSTUSbkpYiJcoQQ1NXVceLEifAPtHO5cM3M+HvEOLKyMJlMxKtiRqOtrQ2PxyP9MAGipKSExMREWnp6IERdTxVFoe211xh74QVYxRwizdS7FiHrHByk6b77GHrrrVXvI1ooi8AKpTa1R0yZFDEBoUK9WNR670QLUsTEAHV1dUxNTdHd3R3eQNTp1f6VmKysuZk+sjIpqBgMBmpra2k8fRrzAgM1QPHzz1Px+98H/Lg+n4/WvXvpfvjhFU+9XlNlksfD4F//yomf/zxmKpAuRCRWp7SNjFCQnk7iGjtLS+bQRMxpKWIkkYZefDGKzYbL5cIbH89sdjau1FQsSUmwwPeixRmqycWxQG1tLYODg9gN5/7JJ0xMkN7SggjS5ObB9nZO/eIXOFbQObqxsZG0tDQKCgpWdCx7RwenfvYzul99NabTRwtJjI8nPy0tYkSM2+uly2qVpt4AUqk2FF0srRzJSBETA+hFxDjHx1EUhb5rr+X4pz89N/hRHQA5n2PHjmE0GqWICSCaL6Z7kXy4rbAQg8+35qZ358M2NUXj737H6HPPwYIqqYWspjLJPTRE9+9/z8kHH2Q6glImoaQ0O5uu0VG8EVCh1G214vX5pB8mgGQkJZGVnBx16STThTeRRDraCSzcImZ2kavAxWYmHTt2jOrq6rlUkyQgaIKwfWKC0gXdkec3vbMVFwctBq/XS/vrrzNy4gR5F11E5sUXn5NKBBgaGmJsbOzCIlZRcHR1MbB3L2OtrXLl5QKU5eSwr62NvokJihf40PSGrEwKDhW5uTR0d+P1+TAusiobiUgREwOkpKRQWloadhHjHBsjYWyMdW++ibWuDtv69edUJk1NTdHe3s4HPvCBMEUZnWhCtm14mOsWiJiZggIUIQLSuXc5TE9OMr17N4kHDpBTV0fOzp0YsrJAbcZ33sokrxfv6CiTbW2MnTjBeG9v+A3rEcIGrUJpeFj3IqZdG/wo00kBpSI3l/3t7fSOj1OySH+uSESKmBihrq6OZ599FpfLRXyYjHKuiQkSh4bIO3IEW1ERs6Wl5zS604TW1q1bwxFi1FJYWEhqairN3d2woIGgLz4ee27umaZ3IapgstvtdO3fT++hQyQlJWHJycFSUEDDq68CUJmWhr2xEa/bjWd2lunubmZ6erBNTUnhsgoqNE/E8DDXqBPu9UrryAhGgyFqTrR6wV+hNDQUNe+tFDExQl1dHU8//TTNzc1+j0xI8XpxTU1dsDLp2LFjgBQxgUYIwebNmznZ3EzcO985N79qHj3XX4/PFJ6vA6/Xy9TUFFNTU9DWxt7nnpt7oqGBE21tYYkpGtmQk4NRCFoiwNjZPjxMSVYWcUZjuEOJKjQhe3p4mOujpPozOpJikgsSdnOv3Y7T6TyrR4wlMRGSks7aTIqY4FFbW4vVasW2yCrG1IYNc36YEK3CnI/2kRFSzGaykpPDHUpUkWAyUZqdTYs6s0yvzLpc9E1MSD9MECjNysJoMESVuVeKmBgh7CJmZmauR8zYGO7ERLxmMwkZGbDAXNbQ0EBOTg7r1q0LT5xRjH+G0hIdOw1OJwlhniukKAptw8NsyMkJ2MwkyRkq8/IYmJxk2uEIdyhLopWBy8qkwBNvMlGalRVVZdZSxMQIVVVVxMXFhU3EuCcn8Xq9mMfG/OMGEhZ8SXm9Xo4fP87WrVvlCSwI+CuUFhMqisLWn/2M8j/9KcRRnU3/xAQ2p5NqKWKDQpX6vp7W8UmsTZp6g0pFbi4Dk5PYdCxkV4IUMTFCXFwcGzduDJuIcVit4PMxtGMHo+qqUOICEdPa2srs7KxMJQUJbSVm0fk5QjCTn0/iwAAiUMMgV0GzmuqoUnP3ksCiva/NOk4ptcmZSUGlcp7BOxqQIiaGqKuro7u7m8nJyZAf2zE2BgYD/Vddxcj27QghsCz4kpJ+mOCSm5tLVlYWTUuMnwhF07sLofk1qvPzwxZDNKOdwPS+EpNgMlGQkRHuUKKSCiliJJGK5os5ceJEyI/tGh8/677FYkGkpp71mBQxwUUIQX19PSeam1msQHl+07tw0Tw0RJzR6O9pIgks6YmJ5Kak6LpCqX1khA05ORhkSjkoRNsgSCliYoiwmXsVBefEBPlvvEHtffcRPzk5V169oPrk2LFjxMfHU6PzHhaRzPbt27Hb7QxOT5/znK2gAIUwi5jBQTbk5GCSpbVBo3rdOjpGRnDrsMPxpN3OqM0mK5OCSHZyMmkWixQxksgjbCJmdhaXw0Hi4CBJg4N4EhMxp6f7O7RqHDt2jE2bNoWtGV8ssG3bNgCaF5kq7UtIYDY3F+MFZhsFC6vNhtVmk6beIFOZl4fH56NDhzOmNL9WhTT1Bg0hBBW5ubQND+OLgqaRUsTEEEVFRaSlpYVexMzrEeNMScEXF0fCgnTB2NgYvb29MpUUZPwiZokTWOPHPkbzBz8YypD8+E29UsQEFe391WNKSYtJViYFl4q8POwuFwOLXMxEGlLExBBCCOrq6jh+/HhI27b7pqf9IsahtrpeODNJ+mFCQ3l5OampqZzs7V30eSVMXXvhjKm3RoqYoKJVKOlRxJxSTeU10tgdVKLJFyNFTIxRV1fHxMQEfSH0PTjGxoiz2TC6XHM9YmRlUtgwGAxcdNFFNLa1LbqULLxe8g4cICsMpfhNg4MIZCoh2OSnp5OUkMBpHZZZnxoYoDA9nTSLJdyhRDWV6t+YnqvUlosUMTHGli1bgDOiIRQ4x8b8M5OcmZkkxMdjSEs7axspYkLH9u3bmZ6ZoXeRpneKwUDha6+Rd+hQyONqGRykJCsLi/REBRWDEFTm5tIyNKSrQZozTiddo6NsLCgIdyhRT5la/SVXYiQRx/bt2wE4ePBgyI7psFqx5+XR/IEPMF5dPTczaZHKpMLCQrKiZLKqntF8MaeXaHpnKywkcXAwpE3vbA4HfRMT0g8TIqrWrcPmdDIQhp5RS9EyOIiCTCeGAnNcHMWZmXIlRhJ5bNmyhbi4uJCKGPfkJF6zmcnycpwZGZiTkyEh4czzbjeNjY1yFSZEaEL2tDqjZiG2oiIMXi9JIUw3aP4MWZkUGrSmd3oaBtmkxrJR+mFCQkVeHn3j49hdrnCHsiakiIkxEhISqK+v5+DBg6FZSna5cMzMED85iXC7ATAv8MM0NzfjcrmkiAkRlZWVJCUlcWqJqzB/07slzL/BQKtMkiImNOjR3Huqvx+Q3ZpDRUVuLgpLjCGJIKSIiUF27tzJyMgIXV1dwT/YzAwup5Oq3/2Oul/8AgDzgvLqhoYGQPphQoXRaOSiiy7iZHf3okLWVlCAIkRYRIxMJ4WGspwcjAaDvkTMwADrMzNJMZvDHUpMoBno9bQatxqkiIlBdu7cCYTIF2O345ydnSuvVmehyPLq8LNt2zamZmboWzAOAuaa3g1ecgkTFRUhi6dlcJB1qamyKiVEJJhMlGVn66ZCyeZw0D02JlNJIUQrYz8VxllpgSDsIkYI8S4hxGEhhFMI8aMLbFsphHhDCNEihDgohKgNUZhRxcUXXwyERsS4xscxjo9j8HpxZGURHx+PacFgt2PHjmGxWKisrAx6PJI5NF/MUtOMe264gdH6+pDE4nC76RwdlaswIaYqL4/BqSkmw9SheT6aH0b2hwkdOSkp5KWmciKMY0YCQdhFDHAa+Bjwn8vY9l7gfxRFqQK+DzwYxLiilurqapKTk0MiYhxWK2a1lNeRmXnOzCRFUTh27BibN2/GKOflhAx/594LpRNC4JtqGx7GqyjSDxNiNNGohwqVJnU1QK7EhJbawkI6RkawOZ3hDmXVhF3EKIrSoijKMeC89ZxCiFxgB/Cw+tATwHohROjWvKMEo9HI9u3bOXToEN4gD4Fzjo2dJWIsSUkwL2XQ1dXF8PAwO3bsCGockrOpqanBYrEs6Ykw2e1svvdeil98MeixSFNveNAqlPQgYk4NDCCQnqhQs7mwEAVoUk3VkUjYRcwKWA8MKIriAVDmHIndQPHCDYUQdwkherWbzWYLcaj6Z+fOndhsNpqbm4N6HOf4OPFTU4C6EpOdDUL4n9+3bx8Al156aVDjkJyNyWRi69atnBoYWNTc67FYiJuZIbmnJ+ixaEJKnsBCi57KrJsGBijJyiJ5XusFSfCpVRsLRnJKKegiRgixTwgxusRtfTCOqSjK3YqiFGm35AWN1SQh8sV4PDinpui97joO/+M/4kpLO6e8WoqY8LF9+3YmZmYYXKzhmdb0bmgIg1oaHyxaBgdJT0wkNyUlqMeRnE2axcK61NSwVyhNzc7SOz4u/TBhoCY/H6PBwAm5ErM0iqJcqihK9hK3lVzm9QD5QggTgBBCMLcK0x2MuKOdkFQoqdOrAbxmMwhxTmXSvn37yMnJoby8PHhxSBbF74tZ4krcVlSEwecjKYhfcB6fj9bhYary8hDzVugkoaGmoID2kRFmwuiJaJJDH8OGOS6OitxcGvv6dDWCYiVETDpJUZRh4AjwQfWh24FeRVFawxdV5FJSUkJ2djYHDhwI3kFmZnDNzJBz5AiW4WHi4uKIm1eZZLfbaWho4NJLL5UnsDCgVSg1LVFi6W96F8Sl5q7RUZwejzyBhYmtRUX4FCWs6QTZqTe8bC4sZGxmRlcjKFZC2EWMEOJ6IUQvcBfwcdXHcrP63M1CiPvmbf4p4FNCiBbgn4CPhj7i6EAIwcUXX8yxY8dwBanttHdqCsPICGXPPEPWiRPnVCYdOnQIj8cjU0lhYtOmTSQkJPhPIguZCUHTO3+TO9WfIQktW9bPZfTfCoH3aSlODQxgEEJ6osLE5sJCABoj1BcTdhGjKMpLqnclVVGUFPXnp9TnnlIU5RPztm1W01NViqLsUBTlePgij3x27tyJy+XirbfeCsr+zyqvzsg4Z/Cj9MOEl7i4OLbU1dE8OLjoUrIvLo5Tf//3tN98c9BiOK4KpFo5uTgsVK9bR4LJxFsh7M68kFP9/ZRmZ5Mop5eHhVpNxESoLybsIkYSPjRfTLBSSo755dVZWSRkZIDhzEdu3759GI1GWV4dRrZt387YzAwj09OLPm8rKprzMwWJhp4eclJSyE9PD9oxJEsTZzRSW1DAib4+PD5fyI8/YbczMDkpJ1eHEW3UQ6RWKEkRE8ME29zrGh/HbLUCao+YeZVJiqKwb98+tm7dSlJSUlCOL7kwmi9mqdbjwusluacHcxCGxE3a7bSPjHBRcbH0RIWRLevXY3e5aA1DlZK/yZ1ciQsbBiGoLSigeWAAd5D7hgUDKWJimNzcXEpKSoIjYnw+nBMTmMfG8MbH40lKOkvEtLe3Mzw8zGWXXRb4Y0uWjZbKO7aEJyJueppNv/oVeYcOBfzYDeox64vPafUkCSF+X0wYUkqyU68+qC0sxOX1hkXIrhUpYmKcnTt3cvLkSaaXSCesGrsdh8OBIyODyQ0bMJpMJMybXi39MPpg06ZNZKalcWSJieautDRcyclBMfc2dM91R7hIipiwUqd6IpYSssHk1MAARiH8jfck4UHzxURiSkmKmBhn586dKIrCkSNHArvjmRmcTiedN91E6x13YLFYpKlXhxgMBq7YtYvmwUFsDse5GwiBraiIxOFhDAGuYmvo6SHVYqF0nriVhJ5Ui4XynJyQVygpikJjfz9lOTmY4+JCemzJ2WyO4M69UsTEOMHq3KvYbDjnnfQWEzF5eXmUlpYG9LiSlXP99dfjUxSOLbHaYissRCgKSQH8grO7XDQPDFC/fj0G6YcJO1vWr2d4enrx7s1Bomd8nJHpaZlO1AFpiYkUZWREZIWSFDExzvbt2xFCBFzEOMbGSOnspPTPf8Y8MkJCaiqoV1szMzO89dZbssmdTrj2bW8DWDKlpDW9SwlgSul4by9eRZEnMJ2wRf0/DmVK6VBHBwA75IWMLthcWEjP2BiTdnu4Q1kRUsTEOCkpKWzatInXX389oG2nHVYryT095DY0YHS5zpqZdPDgQbxer0wl6YTaujrSk5KWFDEz+fnMZmbiM5kCdkzND1O/Pijj0yQrZGsYzL2HOjsRwLaSkpAdU7I0myO0X4wUMRKuv/56+vr6aGpqCtg+XePjZ3rELCivfuONNwBkZZJOMBgMXLxpE00DA9gWmaGjmEwc/8xnGAyg6Gzo6cESF0e17A+iCwrS08lKTg7ZSoxPUTjU2UnVunWkWSwhOabk/ESquVeKGAk33ngjAC+++GJgdqgoOFUR405MRElKwrygMslkMvl7lEjCzxU7dsz5YkJwEnN5PDT29VFXVITJaAz68SQXRgjBlqIi2oaHFxWygaZ1eJjJ2Vl2lpUF/ViS5VGZl0e80Rhx4wekiJFw9dVXYzKZeOGFFwKzw9lZnA4H5rExHJmZmM1mREoKMFeR8Oabb3LRRRfNmX0luuCaq68G4OgSKaX4iQnKnn6ajFOn1nyspoEBnB6P9MPojK3r188NgwxBSkn6YfRHnNFIdX4+jf39eMPQvXm1SBEjISUlhcsuu4zdu3cHZhjkzAzuiQni7Pa5VJLFAqqIaW1tZXR0VPphdMb2Sy8l1WJZ0hfjM5nIOXaM9NOn13wsf5M76YfRFaH0xRzq7MRoMMjPgM7YUVLCtMPByQjyxUgRIwHmUkozMzP+/i1rwm7H5XTSc801jNfUYE5OBnX+juwPo08s2dlsKylZ0hfjSU7GkZFBSgDSTUe7uzEZDP4cvEQfVOXlYY6LC3q/GI/Xy9HubjYXFmKRQx91xWUVFQC80doa5kiWjxQxEgDeppbZBiKl5BofxxUfz8AVVzBRVXWWH+all14C4PLLL1/zcSSBQ1gsXFxRgVdRljyJ2YqKMI+PY5qZWfVxvD4fb/X0sKmgQDY40xkmo5FNIRgGeWpgALvLxU6ZStIdtYWFpFosvNHWFu5Qlo0UMRJgrl9MRkZGQMy9DnXoo4ZWmeT1evnLX/7C1q1bWS+XkfWFEFxaXw8s3S9mWv0/W8sIgraREWxOp/TD6JStRUXMut1BnaFzUPphdIvRYOCSsjKaBgaw2mzhDmdZSBEjAcBoNHL99ddz6NAhrAtEyEpxjo1R9vTTbL73Xgw+n79HzL59+7Bardx8882BCFkSYLbU1ZFqNnNE7eGykEA0vfP3h5EiRpdsVf9flhKygeBQZycJJhOb1c+TRF9oKaV9EbIaI0WMxM+NN96Ioii8/PLLa9qPa2ICy/AwJoeDhKQkDKmpADz11FMAUsToFEtODheVlNDU38/MIr6Y2Zwceq69FuumTas+RkN3N4IzHWIl+uKi4mLMcXG81tISlP073G6O9/ZSX1xMnCyv1yW7yssRRI4vRooYiR+tX8yafDEOBw6b7azyaq0y6amnnqKgoIBt27YFIlxJgLFkZ3NRcfGcL2ax1RYhGLj8cuz5+avav6IoNPT0UJmXR4pq9JboC3NcHJeWl9PQ3R2UdMJbPT24vF7ph9ExmUlJbCooYH97e1C9UYFCihiJn7KyMioqKnjxxRdXP4LAbsdjtWJyOudETGIiJCbS0tJCc3Mz7373uzEY5MdOjyTm5rJdbQF/vnSCwe3GsIqGaCf6+rDabFy8YcOqY5QEn2tralAgKKsxhzo7AemH0TuXVVRgczo5HsIxFKtFnk0kZ3HjjTfS1dXF6dX2A5mZQQwMAHPjBsxZWSAETz/9NADvfve7AxWqJMDEZ2RQXVBAqtnMYfVks5Ck/n62/ed/knvkyIr3/0JjIwA3rCEdJQk+l1dUYDIY2B3AMSQahzo7STGbqZLjJnRNJJVaSxEjOQut1Hq1VUreqSlMw8MAOLKy/JVJTz31FImJiVx33XWBCVQSeOLjsaSmsqOsjJP9/QxNTZ2zyWx2NkJRVtwvxuvz8fKpUxRlZFAjT2C6Jtls5uINGzjY2cm0wxGw/docDk4NDLCtpASjXI3VNTX5+WQkJkoRI4k8rr32WoxG46p9MbOjo4xXV3Pq7/5urq9IdjZWq5W9e/fytre9TY4a0DnxGRm8Y/NmFOD5EyfOed4XH4993bq5MusVpByP9fQwarNx46ZNCCECGLEkGFxbXY3X52NvADo0axzp7sanKNIPEwEYhODS8nJah4cXvZjRE1LESM4iLS2NSy65hFdeeQW3273i1zvHxvBaLEyXlWFIT8eUns4zzzyDz+eTVUkRQEJWFpdVVJBqsfDs8eOLeqOmi4qIs9tJGB9f9n7/evIkADfU1gYsVknwuLKqCoMQvBLAlNJL6mfgkvLygO1TEjz8pdY6X42RIkZyDjfeeCPT09Ps379/xa91jY9jHh3F4HTOVSYlJ/P0008jhOBd73pXEKKVBBJzVhZxRiM3btpE+8gILYs0PfP3i1lmSsmjppJKs7MpV9OLEn2TkZREfXExb7a1MRuAeWrTDgevNDWxpaiI4szMAEQoCTYXb9iAQQjdd++VIkZyDjfddBMADz/88Mpe6HDgnJ5m8333UfnEE1gsFpxxcTz33HNceuml5ObmBiFaSSDRPEzvrKsD4Nnjx8/ZRuvca15mU8TDnZ2M2+0ylRRhXFtTg9PjCUjTs+dPnMDp8XDLRRcFIDJJKEizWNhcWMjBjg5cHk+4w1kSKWIk57B9+3a2b9/OQw89xMTExPJfaLPhGR7G4PHMVSalp/Pq668zPT0tq5IihERVxGwuLKQoI4PnT5w4p1eEOzWVI1/6Er3LNGn7U0myKimiuLq6GiAgVUpPNTSQGB/P9Rs3rnlfktBxeUUFdpeLY0EeCroWpIiRnIMQgs9+9rPY7XZ+9atfLf+FNtvZ5dXZ2bJLb4RhSksjLi4OIQTvrKtjbGbGP+tmPp6kpGXtz+31srupicq8PErnDQKV6J+81FRqCwvZ29q6pivxpoEBmgcHeVttrZxaHWFcVlkJwItqewQ9IkWMZFHuvPNOMjMz+elPf4pvmV0bvZOTGAYHgbnyanNWFk899RTl5eVslFdgkYHRSHxaGgDv2LwZgGffeuuczUwzM+QePkyiKlqXYn97O1MOh1yFiVCura5mxunk4BJ9g5bDUw0NADKVFIFU5uayubCQZ44fZ3R6OtzhLIoUMZJFsVgsfOITn+D06dP89a9/XdZrHKOjmMfGAHBlZ/P80aP09PRw2223SS9EBBGfkQFAUWYmW4qK2N3cfM4spTibjdJnnyXz1Knz7ktLJd0oRUxEcnVNDbD6lJLD7eb5EyeoyM1l4yrHVUjChxCCD192GW6vl0cPHgx3OIsiRYxkST796U8jhOCee+5Z1vazw8PE2e34jEZEbi7/8uMfY7FY+NKXvhTkSCWBxDwv7fPOujqcHs85J7HZnBw8CQmkLDHxGsDp8fBqczMb8/MpVIWRJLIozsykIjeXV5ubV1Wl9EpTEzank5vr6+WFTIRyZVUVpdnZPHH4MLYANj8MFFLESJakrKyMm266iT//+c90Xmg52ePBMTFB+y23cPgf/5FXWlt56+RJPvvZz5Ivr8AiCnNWlv/n6zdtIs5oPLdKyWDAVlRE0sAAYgm/xJttbdhdLplKinDes20bk7OzPLRv34pf+9TRo8QbjbxDrXaTRB4GIfjQpZcy43TyxOHD4Q7nHKSIkZyXf/iHf0BRFH7+85+ff8OZGRyqSvcYjfz388+TnJzM//k//ycEUUoCSeK8Uvg0i4XLKyo41Nl5TufO6fXrMXi9JPX3n7MPj9fLfa+9htFgkKmkCOfWbdsoy87m4X37GJycXPbrusfGONLdzdXV1aTJTt0Rzds3byY3JYXfHTiAU2fl1lLESM7LjTfeSGVlJffdd59fpCyKzYZ7dJTcQ4c49OabtA4O8sUvfpFsWZEScViys2He0v876+pQgIcXXInb1H4xizW9++3+/bQMDfHhSy8lTzUKSyITk8HAF2+8EafHw89efnnZr3taGnqjhjijkb/dtYuxmRn+cuxYuMM5CyliJOfFYDDwmc98BqvVyqOPPrrkdsr0NIaODkqfe47efftIS07mrrvuCmGkkkBhSE4mPiHBf/+Kqiq2FBXx2MGDZ83SsRUWMlZdjWNe+gnmrsDve+01SrKy+OiVV4Ysbknw2FVezmUVFTzf2Mjx3t4Lbj9ht/P0sWMUpKezXc5KigpuuegiUi0WfvPmm3iXWbEaCqSIkVyQj3zkIyQmJvJf//VfzMzMLLqNY3TU38H1wOwsX/7Yx8iQZs7IRAh/mTXMXYl/+9ZbSTGb+benn2ZYTSspJhOt730v42oFC4BPUfjen/+M0+Phn9/1LhJMppCHLwkOX7jhBowGAz988UV85xn+6fR4+MpjjzE+M8PHr7wSgzT0RgWJ8fG8d8cOesfHAzpTa61IESO5IOnp6dx1110cP36cd7zjHUwtMtV0dmSEuNFRAIbNZr74mc+EOkxJAIlfMN8mPz2dr990ExN2O//6pz8teSX2dEMDR7q7uW3bNi4qLg5FqJIQUZqdzR07dtDY18cLi0w4hzkR++2nnuKt3l7+btcubtq6NcRRSoLJ+3buJMFk4sHXX8exigHBwSDsIkYI8S4hxGEhhFMI8aMLbNsphGgWQjSotztDFGbM8+1vf5svfelL7N27lxtvvJHx+ROMFQVrXx8jra3YgXdffz0p69aFLVbJ2klYZEjftTU13L59O0e6unhg714ALCMj1N53HzmHDzMyPc1///Wv5KSk8A/LHEkgiSw+fuWVpFos3PPyy4uWXP/P7t389eRJrq2p4bPXXx+GCCXBJD0xkffu3MnpoSH+/v77aVabm4aTsIsY4DTwMeA/l7n9nYqi1Ku3pU0akoAihOC//uu/+PrXv86BAwe47rrrGBkZwWaz8b1vf5uLv/pV0qam6DQa+fiNN0JycrhDlqwByxKG7C/ceCMVubncv2cPBzs66PV6SRocZPbECb791FPYnE7+zzvfSbLZHOKIJaEgzWLhk1ddxcj0NB+5/35+9vLLHO/txacoPNXQwAOvv05tQQHfuuUWmUaKUj5z7bX8w3XX0Ts2xsd++UseeuONsHpkhHKe3GYoEUJ8C0hXFOWL59mmE7hVUZSGley7qKhI6V2GGU2yPL773e/yjW98g/LyciYnJxkdHaUwLY1nExPJLC4m4YtfJPv97w93mJI1MNPZSeP99y/6XOfoKH9///3+5eTjQCpQwlxn3u/cdlvI4pSEHo/Xy3+/9BIvNDYyrnrkMpKSmJqdJTclhfs/+lGy5EVM1NM0MMC/PvkknVYr2ysq+MNLL1EchBSyEKJPUZSiJZ+PQBHz/7d37zFylecdx7/PXmd37V3jXZsF22sbQ9zaosRNEAUKTgqUNq0AQRpqFRARDUoLalRAahUklCIkKBIFJY2UEiAUIrWQpi2QgAWhhRgFbC6+cSk2Bt8veNfYe531zM7TP85ZMyx7mTO7s2fPzO8jjTx7zpn188y7M/PMOe+lGzBgA/D37n54lONuAU4MjWlpaVkQaTVmmdD999/PLbfcQkdHB7ffeCO/k06fOK23YvVqZl18cazxyeTkent54957YYz3h19v28bzb79N66xZ3LRvH7+/bx+PX3EFp69YQXXVTDjBK6WWc+edfftYt20br2zfzif9/fzwmms4LVwJXcpfOpPhBy++yH+88QaXXHIJzz///JT/H7EXMWb2KnDGGLtXufue8LjvMXER0+Huu82sFrgLONPdvzZRDDoTUxo7duxg4cKF2JYtPPnggzy0bh3bDx3i7FWr+If77+csdepLLnc23303gwMDEx7aunUry556ih2XX06XZmYVqTgbDh/m0ltv5YwzxvqoL95ERUzJvzK5+7nu3jbG7fOzZI3/u3aH/2aABwBNQhGjZcuWUV9fz/rXXuNXDz/MDe+/jx89yjMvv8w555zD5hk2KZJEYEbdnDkFHdoTTno3a5RJ70Sk/F2wcmVJCphCJOa8r5k1mdmcvE1rgI0xhSN57n70UVa7cy2QBnK5HNlsljvvvDPu0GQSRg6zHsvxlhbeX7OGvV/9aokjEhH5rNiLGDO7yMz2EvRhucHM9prZZeG+y8zsofDQk4H/NbMtZrYVWA1cF0/UcsLx47y9axdnAJ3A8MDroaEhNm5UjZlkow2zHpUZx5YtY0jr44jINIt9Ok13fxEY9XqXuz8NPB3e/xDQIhwzTW8vy9vb+UJXF9vyNldXV7NKa6YkWmrEcgLjyuVoOniQbEMDg5qpWUSmSexnYiThenv5q3POYT7BhD8QFDA1NTXccccdcUYmkzTWXDGjHnv4MCsfeYR5OvsmItNIRYxMSvboUZaHI9wybW0sOfVULr/8ctavX6/RSQk3cjXr8QzMm0c2lWL27t0ljkpE5FOxX06SZEt3dpKZNYvdF13EeUuX8uFtt2HLl8cdlkyBqsZG6lOpgoZZU1VFz6JFtOzYQVUmQ662tvQBikjF05kYmZSBzk6Ot7Rw8NxzGVq6FJs9O+6QZKqYUVvgMGuAno4OqnI5ZmlOJhGZJipipHi5HOmurhOzutanUlozqcwUPEKJoIgBdElJRKaNihgpXl8f6YEBVjzyCL/1+OOk6uuhqSnuqGQK1UcYodTf3k76pJNwLTsgItNEfWKkeL29pAcGaOjspHfhQupbWqC6Ou6oZApFGWbt1dVsuemmEkYjIvJZ+sokRfNjxxg6fJjqTIb03LnUaX6QshNlmLWIyHRTESNFSx86RH1XV3C/tTXa5GiSCI3z5hU8zBqgpr+fJb/8peaLEZFpoSJGijZw8CCpsIgZVBFTlqyhgfoIywkM1dXRtmULc997r4RRiYgEVMRIcY4fZ+CTT0gdOQJArr0d08ikshRlmLXX1NC7YEGwonUuV7qgRERQESPFOnaMvr4+Dpx/Pu9edx1V7e0amVSmogyzhmCodXUmQ9OBAyWKSEQkoCJGihMWMdnGRno7OqhvaoLGxrijkhKIepmwZ/FiQPPFiEjpqYiRogx+/DGZwUGa9u2jOp2mbvZsqNGI/XIUtYjpXbCAXFWVihgRKTl96khR+g4cIPXJJ6z8yU84cO65pFavjjskKZGGefMiHZ+rq2PXpZcyEPFxIiJRqYiR6LJZBg4fPtGpNz13LnM0MqlsNbS1YWZ4uLxEIQ5/6UsljEhEJKDLSRJddzd9fX0nhlenW1sjd/6U5LBUiroi+jtZNkttb28JIhIRCaiIkejCTr35w6urtHp1WYs6G7NlMvzuffexeO3aEkUkIqIiRoow+PHHZDIZUl1dDNXVUd3aqtWry1zUIsZra0m3tgadeyNchhIRiUJFjETWt38/ADY0xEBbG6mGBg2vLnPFzMbc09FBbX8/qc7OEkQkIqKOvRJVLkf/oUMAvHf99ZDLsai5WcOry1wxRUz34sW0b9hA865dpDVSSURKQGdiJJqeHvr7+j79uapKnXorQDGrWfd0dOBA865dUx+QiAgqYiSqsFNv0/79nLx+PbU9PVr4sQIMD7OOYqihgf72duq6u0sUlYhUOl0DkEiGO/XO376dBevW0bN4sYqYCmCpFLUNDRzv74/0uPeuvZZcfX2JohKRSqczMRLJcKfe4TliNLy6ckQdoQSogBGRklIRI4Vzp//gQQBSR44w2NxMXXOzVq+uEMX2fWrbvJmT16+f4mhERFTESBR9ffT39IA7qa6uYKbe+noVMRWi2CJm/ptvsmDdOs0XIyJTTkWMFC7s1FvX3U11JhMUMRpeXTGK7fvUvWQJNek0jeHQfBGRqaIiRgo23KmXXI6uFSvo6egoqp+EJFMxw6wBehYvBqB5584pjEZEREWMRNAbduo9ftJJ7LjySo6sWKGRSRWkoa0NIg6zBuhZtIhcVRWzNV+MiEwxFTFSGHf6Dxz43OZiv51L8lQ1NFDf0BD5cbm6OvpOPTVYRymXK0FkIlKp1JlBCtPbS//RowAsfu45qrJZ9l55JdXNzfHGJdOqpqWFwYhzxQAcXrWK2t5eqoaGyFXpu5OITA0VMVKYri76ww+vOdu3k21s1MikClQ/dy59o5yRm0jnWWeVIBoRqXT6SiQF6d+7l0wmQ9Xx49R3d5OeO5dUKqXVqyvMZNfJsmx2iiIREVERIwXqCUeWpI4cAWCgrY26WbOgtjbGqGS6TaYj9+LnnmPVAw9gQ0NTGJGIVDIVMTKx/n56OzsBSIX/pltbqZ0zJ8agJA6T6cidbWwM5osp4nKUiMhoYi9izOxvzOxtM9tqZlvM7Jpxjp1vZmvNbHv4mAunM9aK1dVFd7gScUO4ZlK6tXXSlxYkeRrnzStqmDVA9/B8MRpqLSJTZCZ07H0HON/dj5nZImCjmb3q7jtGOfYe4DV3/yMzOxv4LzNb6u6ZaY24wgzs2xdMcgd8snw52VSKdGsrKRUxFaeqsZG6VIrjAwORH9u7cCG5mhqad+7kwPnnlyA6Eak0sRcx7v5i3v09ZnYQWASMVsR8Azg9PPZ1M9sPrAZ+NR2xVqrujz46cb+/vZ3+9nYwo16z9Vak2jlziipivKaGnkWLmL1nD5bN4lquQkQmKfbLSfnM7GLgJOD1Ufa1ArXufjBv806gY3qiq1CDg/QOr3njjoVnZOpqazENr65IdZPoC9W9dClV2SxNBw9OfLCIyATMS7yyrJm9Cpwxxu5V7r4nPO5M4Flgjbu/MsrvaQX2u3t93rYngbXu/siIY28Bbsnb1A6U6l1zFtBbot89E5R7flD+OSq/5Cv3HJVf8pUqx3n5n/sjlbyIKYSZrQCeA/7S3V8Y57g+YNnw2Rgz2wB8191ju5xkZnvdfWFc/3+plXt+UP45Kr/kK/cclV/yxZVj7JeTzOy3Cc7A3DheARP6GfDt8HFnAwuAl0sboYiIiMxEsRcxwPeBFuAfzWxTeLsUwMy+bGbP5h37d8B5ZrYdeBS4RiOTREREKlPswwPc/ZJx9r0BfC3v50PAH05HXBH8U9wBlFi55wfln6PyS75yz1H5JV8sOc6IPjEiIiIiUc2Ey0kiIiIikamIERERkURSETMBM/sTM3vTzAbN7IEJjj3DzH5jZtvM7HUzW1nIvjiZWZWZ/cDMdpjZB2Z28xjHteZ1vN4U5pE1s7nh/pfM7KO8/X87vZmMrdAcw2N3mtn7eXlcnbcv6W2YMrP/DuPfbGYvmNnpeftnVBsW+nyb2Q3hemo7zOzHZlZbyL64FZKfmf2BmW0ws3fN7B0zu9fMqsJ9S8xsaMTrctn0ZzK2AnP8ipkNjMijIW9/0tvwmyNy6zSz/wz3zeg2NLPvh++JbmZfHOe4+F6D7q7bODfgC8BZwF3AAxMc+z/A9eH9rwOvF7Iv5vyuA14EqoG5wC5gZQGPuw14Ju/nl4Ar4s5nsjkSzAL9xajtm4T8gBRBR/nhvnA3Ay/N1DYs5PkGlgL7CSa0NOBp4KaJ9s2EW4H5rQJOy2u/V/IeswQ4GnceU5DjV4BNYzw+8W04ymPeBq5KQhsCFwILJ3hfjPU1qDMxE3D3be6+GciOd5yZzQe+DPw03PRzYJGZnT7evhKFHcXVwI/dfcjdjwBPAGsKeNwNwMMljWzqFJvjCeXQhu6edvdnPXx3AV4jeBOdcSI8318Hnnb3g2FeP+LT3MfbF6tC83P3je7+YXg/DWxihrbZSFP0mkl8G454zDnAfIIP8xnP3X/t7nsnOCzW16CKmKmzCDjg7lmAsMF2E6ztNN6+uHUQfHMftpMJ4jKz8wjWuPrFiF33mNlWM3vCzE6b0ignJ2qOj4V5PGxm88JtZdWGoe8AT43YNlPasNDne7zci31epkPkvyczayf4UMh/3TWFlzHeMrM7zKy6lEFHFCXHZWEOr5vZX+dtL6s2JPjy97h/dn6zmdyGhYj1NRj7PDFxswLXdkqqifIr8tfeADw2/OINXevBKuQG3ETwRruiyN8fyRTneKG77w6v294F/Ct5cxXFoRRtaGbfJVgR/qK8zbG1oYzPzJqBZ4B7PZg/C+AAsMDdP7agb9oTwK3AvTGFWay3gIXufszMFgLPmlmnuz8Zd2BTycyagD8Hfi9vc7m0YWwq/kyMu5/r7m1j3KIUMHuAU8ysBiD8IOggqMzH21dSBeS3G1ic95Al48VlZrOAbwCfWXRz+LnywD8Dp1mwaGfJTWWO7r47/DcDPABcEO4qpza8DbgS+GN378/7f2Jrw1EU+nyPl3uk52WaFfz3ZGazgbXAU+5+YkIxdx9094/D+0cIXpMXjHx8jArK0d273f1YeH8v8G98mkdZtGHoz4B33P3d4Q0JaMNCxPoarPgiZqqEf4hvAdeEm64C9rr7B+Ptm/5IP+dnwLfMrDr8JnA1wbeBsVwNbHb3/xveYGY1ZnZy3s9XAYfcvatUQUdUUI5m1mRmc/I2rQE2wvjtW8rAC1RwG1qwwvsa4BJ3P5q3fUa1YYTn++fAZWbWHn6IfBv49wL2xarQ/MIvDWuBte5+14h984dHephZPUFhurHUsRcqQo6n2KcjrmYDf8qneSS+DfN8rh/hTG/DAsX7GvQZ0AN6Jt8ITrfvBbqBnvD+ZeG+y4CH8o5dDrwKbAPeAM4sZF/M+VUDPwQ+BHYA38nb95n8wm2/Ab45YltTmNNWYDPBSJmz4s4tao7AaQRvIFvCXJ4ClpRLGxKMMvDwmE3hbf1MbcOxnm/goeHXYPjzt8KcdhB8SNQWsi/uWyH5AbcDmbz22gTcHu67kmCky2bgHeAHQH3ceRWR481h/MN5fI9wBF05tGHecT3A7BGPn9FtCPwLwWdeFjgEfDBGfrG9BrXsgIiIiCSSLieJiIhIIqmIERERkURSESMiIiKJpCJGREREEklFjIiIiCSSihgRERFJJBUxIiIikkgqYkRERCSRVMSISCKZ2UNmdk94v8PM3jOzpK07IyKToBl7RSSRzOwUgunaLwUeA2519+fjjUpEplNN3AGIiBTD3Q+Y2Y8I1vP6CxUwIpVHl5NEJJHMrI1ggctuYHfM4YhIDHQ5SUQSx8xagBeA+4B64AZ3Xx1vVCIy3XQmRkQSxcwagV8AD7r7E8BPgWYzuyLWwERk2ulMjIiIiCSSzsSIiIhIIqmIERERkURSESMiIiKJpCJGREREEklFjIiIiCSSihgRERFJJBUxIiIikkgqYkRERCSR/h+sF3YtBWtMfQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_pred, = model.predict(x_test, samples, [process_nn])\n",
    "plot(u_pred[..., 0], ylim=[-2, 2])\n",
    "\n",
    "# sio.savemat(\n",
    "#     \"sine_NN.mat\", \n",
    "#     {\n",
    "#         \"x_train\": x_train, \"u_train\": u_train,\n",
    "#         \"x_test\": x_test, \"u_test\": u_test,\n",
    "#         \"u_pred\": u_pred, \"noise\": noise,\n",
    "#     },\n",
    "# )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9db4fdb0",
   "metadata": {},
   "source": [
    "#### Surrogate is a learned GAN (we refer to this model as GAN-FP):\n",
    "we learn it from historical data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f692c1ba",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a MCMC method\n",
      "\n"
     ]
    }
   ],
   "source": [
    "branch = neuq.utils.load_network(\n",
    "    file_name=\"../../dataset/pretrained_model/sine/branch.npy\", activation=tf.tanh, resnet=True\n",
    ")\n",
    "trunk = neuq.utils.load_network(\n",
    "    file_name=\"../../dataset/pretrained_model/sine/trunk.npy\", activation=tf.tanh, resnet=False\n",
    ")\n",
    "surrogate = neuq.surrogates.Generator(\n",
    "    branch=branch, trunk=trunk, variable_shape=[10],\n",
    ")\n",
    "prior = neuq.variables.const.Samplable(mean=0, sigma=1, shape=[10])\n",
    "process_fp = neuq.process.Process(\n",
    "    surrogate=surrogate, prior=prior,\n",
    ")\n",
    "model = make_model(process_fp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "25763127",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling from posterior distribution ...\n",
      "\n",
      "Finished sampling from posterior distribution ...\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.424"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples, results = model.run()\n",
    "np.mean(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e8f102ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_pred, = model.predict(x_test, samples, [process_fp])\n",
    "plot(u_pred[..., 0], ylim=[-2, 2])\n",
    "\n",
    "# sio.savemat(\n",
    "#     \"sine_FP.mat\", \n",
    "#     {\n",
    "#         \"x_train\": x_train, \"u_train\": u_train,\n",
    "#         \"x_test\": x_test, \"u_test\": u_test,\n",
    "#         \"u_pred\": u_pred, \"noise\": noise,\n",
    "#     },\n",
    "# )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fef10fb",
   "metadata": {},
   "source": [
    "#### Surrogate is an exact one:\n",
    "we know it is $A\\sin(\\omega x)$, where $A$ and $\\omega$ are unknowns.\n",
    "\n",
    "Here, enough prior information, e.g. positivity, is needed for $A$ and $\\omega$. The references for $A$ and $\\omega$ are $1.5$ and $11$, respectively."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "37292984",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a MCMC method\n",
      "\n"
     ]
    }
   ],
   "source": [
    "def surrogate(inputs, var_list):   \n",
    "    A, w = tf.exp(var_list[0]), tf.exp(var_list[1])\n",
    "    return inputs, A * tf.math.sin(w*inputs)\n",
    "\n",
    "prior_logA = neuq.variables.const.Samplable(\n",
    "    mean=0, sigma=1, shape=[1],\n",
    "    initializer=tf.keras.initializers.constant(0.0),\n",
    ")\n",
    "# results are sensitive to the initial values of omega\n",
    "prior_logw = neuq.variables.const.Samplable(\n",
    "    mean=2, sigma=2, shape=[1],\n",
    "    initializer=tf.keras.initializers.constant(2.2),\n",
    ")\n",
    "process_exact = neuq.process.Process(\n",
    "    surrogate=surrogate, prior=prior_logA + prior_logw,\n",
    ")\n",
    "model = make_model(process_exact)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "478ea762",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sampling from posterior distribution ...\n",
      "\n",
      "Finished sampling from posterior distribution ...\n",
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "0.65"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples, results = model.run()\n",
    "np.mean(results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "b409bcc1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1000, 1)\n",
      "Mean of A:  1.5618643 , std of A:  0.042075828\n",
      "Mean of w:  10.9973955 , std of w:  0.0731286\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(samples[0].shape)\n",
    "As, ws = np.exp(samples[0]), np.exp(samples[1])\n",
    "print(\"Mean of A: \", np.mean(As), \", std of A: \", np.std(As))\n",
    "print(\"Mean of w: \", np.mean(ws), \", std of w: \", np.std(ws))\n",
    "u_pred = np.zeros([As.shape[0], x_test.shape[0]])\n",
    "# postprocessing could be done more efficiently by matrix\n",
    "# multiplication, instead of for-loop. However, for demonstration,\n",
    "# we don't do that here.\n",
    "for i in range(As.shape[0]):\n",
    "    u_pred[i, :] = As[i] * np.sin(ws[i]*x_test.T) # transpose x_test\n",
    "plot(u_pred)\n",
    "\n",
    "# sio.savemat(\n",
    "#     \"sine_exact.mat\", \n",
    "#     {\n",
    "#         \"x_train\": x_train, \"u_train\": u_train,\n",
    "#         \"x_test\": x_test, \"u_test\": u_test,\n",
    "#         \"u_pred\": u_pred, \"noise\": noise,\n",
    "#         \"A_pred\": As, \"w_pred\": ws,\n",
    "#     },\n",
    "# )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "132cd840",
   "metadata": {},
   "source": [
    "#### Calibration for NN surrogate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d4fa94ca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Supporting backend tensorflow.compat.v1\n",
      "\n",
      "Compiling a MCMC method\n",
      "\n",
      "sampling from posterior distribution ...\n",
      "\n",
      "Finished sampling from posterior distribution ...\n",
      "\n",
      "0.69\n"
     ]
    }
   ],
   "source": [
    "layers = [1, 50, 1]\n",
    "process_nn = neuq.process.Process(\n",
    "    surrogate=neuq.surrogates.FNN(layers=layers),\n",
    "    prior=neuq.variables.fnn.Samplable(layers=layers, mean=0, sigma=1),\n",
    ")\n",
    "model = make_model(process_nn)\n",
    "samples, results = model.run()\n",
    "print(np.mean(results))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "8f93a85f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+9KMfsWfPHqqqqnjppZe8xz7zzDNcdNFF7N69m/POO48XX3wRgJGREQ4cOMDu3bupq6vjS1/6Ei6XC4B77rmHK6+8kg9/+MPU19ezZ88eurq6fBa/RCKJbKYGB7GZTMEOI+RwKQoO9XVWElhCJROzWiqEEMcAJ3C3oij/7dOz19Ut//2//hUqK6GjA667DgAF0Fgs2IWA2Fi0Z864j33mGbj55qXnWKURLjk5mbfeeovnn3+e6667jttuu40jR47w8MMP881vfpPDhw/T1dXF97//fZ555hlSU1Pp6Ojg4osvpqenh/T0dB5//HGSk5NxOp1cd911PPTQQ3zoQx8C4PDhwzQ2NlJeXs4///M/8+Mf/5g77rhjrX+pqOfpp5/m29/+NhdccAHvfe97ueyyy7zbvSWRj8PhoK+vj6GhIe/H1NQUX/7yl0lPTw92eH5DL7uSFmB3Onm8sZF7Xn8dXWws//WRj7ApLS3YYUUV4SRijgFFiqKYhRBFwJNCCL2iKA8tPlAIcTPgVRJpfnpSxcbGYrfbsVmtGAcHyc/P33Bq66abbgJgz549zMzMeMXHeeedR3t7O+C+gXZ0dHDJJZd4f06j0dDX10dhYSHf+ta3eO2111AUhbGxMbZt2+Y9z/nnn095ebn381/96lcbjDj6OH78ODfeeCNzc3McP36c22+/neTkZN75znfyta99jYsuuijYIUr8iMVi4aKLLuLo0aNLHjt69Ch/+ctfEEIEITL/Y/a8WYtyHE4nf2tq4p7XX2fYbCZVp2N0cpIv/P733P7Rj1KYkRHsEKOGsBExiqJMzvt8QAhxP3AxsETEKIpyK3Cr5+uioqLVLYg6V7akstJ7jMD9x7PPzdHd3c3s8DCTk5OUX3opug20H+p0OgDvPqD5X3u2WSuKwlVXXcUf//jHJT//gx/8gLGxMd566y10Oh0333wzFotlyfkXn1OyOgYGBrjmmmuw2+288sorZGRk8Pjjj/PYY4/x5z//meeee46Ojg5ycnKCHarET/zgBz/g6NGj3HjjjVxwwQUUFBSQn5/P7bffzkMPPcTtt9/Ol770pWCH6XMm+/qwTUwEO4yg02c08tU//pGhiQnSEhL4x8sv58Y9e3jxzBl+8Le/8XlVyJRmZQU71KggJDwxq0EIkS+E0KifpwDXAMeDGxUkJCRQW1vLpk2bmJmZ4fTp08zNzfn1mu985zv5+9//zol5u0sOHToEgMlkYtOmTeh0OkZGRnj44Yf9Gks0MTU1xTXXXMPQ0BD33HMPF154IVu3buVb3/oWr7/+Og899BCTk5P867/+a7BDlfiJEydO8OMf/5iGhgb++Mc/8vWvf52bbrqJSy65hN/85jds3ryZb3zjGxw/HvSXJp8jdyW5ue355xmamOALl13GX770JT5+wQUkxsVx9Y4d3HL99Rinp/n8739Ph5xoHBBCQsQIIe4QQgwARcAzQogO9ft3CiGuVQ97P3BSCNEEvAk8B9wdlIAXodFoKCoqoqqqCpfLxfDwsF+vV1lZyR//+Ec+//nPs2PHDrZs2cIvfvELAL761a/y1ltvUVdXx8c+9jGuvPJKv8YSLTgcDm666Saampr4wQ9+wIc//OElx7z//e/33sxOyBf8iMPpdPKZz3wGl8vFnXfeSWxs7ILHU1NTefDBB1EUhZtuuompqakgReofZCkJzgwN8XJrKwdqa/nURReRtMgHd1VdHT+68UamLRb+77330q3XBynS6EEoyuoqLeFMUVGRMjCwsPnJ6XTS1tZGdXW1t3TjC9ra2picnGTbtm0LSjcS3+Kv/38r8eUvf5nbbruNT37yk/z2t79d0fNw7Ngx9uzZw+WXX85zzz0Xsd6IaOTWW2/lG9/4Bt/85jf5yU9+suJxP//5z7n55pv5+Mc/zu9+97sARug/zL29tN55Z7DDCDpfu/9+3uzs5I+f/zybz1Iyfr2jg5sfeIB3bdvG/+/66wMXYJCIz81lx5e/7JdzCyEGFUUpWunxkMjERBKbNm0CYHR0NMiRSHxFV1cXt912GxdeeCF33HHHWYXJrl27+NSnPsXzzz/P448/HsAoJf6kq6uL7373u1RUVPD973//rMd+7Wtf4+qrr+b3v/89v//97wMToJ+RXUnQ1N/Pwc5O3lFXd1YBA3BhZSW7Skv5++nTGKanAxRhdCJFjI9JSUkhKSkJvV6P3W4PdjgSH3D33e6q5Xe/+13i4uLOefwPfvADkpOT+cY3voHNZvN3eBI/oygKn//855mbm+N///d/SUxMPOvxQgjuueceCgoK+PrXvx7+zwFFYbKlJdhRBJ07XnoJjRB8dl5X6Nn4wJ49OFwuHpMTjv2KFDE+RgjBpk2bUBRFZmMiAIfDwd13301xcTFXXXXVqn4mPz+fb3/723R0dHDbbbf5OUKJv3nkkUf4+9//zmc+8xkuv/zyVf1MdnY2X/3qVzEajTz55JN+jtC/mHt6sEeYv2etHOnu5mhvL+/Zvp2SVXYdXVJTQ05KCn8+elQOwvMjUsT4gfT0dHQ6HePj47KFOcx55plnGBwc5NOf/vSavDdf//rXKS0t5ZZbbmF8fNyPEUr8zd13301MTAw/+tGP1vRzH/nIRxBCcO+99/opssAQ7buSFEXhjpdfRqvR8Jk1zICK0Wh4365djE1N8Wpbmx8jjG6kiPEDnmyM0+lEL93pYc1dd92FEIJPfepTa/o5nU7Hj370I8xmM7/97W/9FJ3E3xiNRp599lmuvPLKNc/+KSoq4sCBA/ztb3/DFKaj+hWXC3OUl5Le7OrixMAA1zU0ULDGIXbX79xJjEbDw4cP+yk6iRQxfiIzM5PY2FhGR0e9u4sk4cXIyAiPP/44V111FaWlpWv++RtuuIGUlBT+8pe/+CE6SSD4y1/+4m2vXw8f+9jHsNlsPPTQkpmcYcFEZyfO2dlghxFUfvPKK8RptXxyHZO4s5KTuXzLFo729tIlM7J+QYoYP6HRaMjLy8Nut2MwGIIdjmQd/P73v8fhcPDZz352XT8fHx/PNddcw1tvvcXiFn9JePDAAw8QFxfH9etsk33/+99PQkJC2JaUor0rachkonlwkCu3biUvNXVd5/jAnj0A/OnIEV+GJlGRIsaP5OTkoNVqGfPT5Ma//OUvNDQ00NDQwLXXXnvuH5CsGkVRuOuuu8jKytrQ3/aGG24A4NFHH/VRZJJAMTY2xgsvvMC73vWudS91TElJ4frrr+f1118Pu43xitPJZGtrsMMIKq+q++ouralZ9znqi4qozsvjqZMnmbZafRWaRCVsdicFAn/M9RgdHWVycpLKyspzbjm2WCx86EMf4vTp0yQkJJCbm8v//M//UFlZuezx73vf+3jf+97n85gl8Nprr9HW1sbXv/71DW2nfve7341Op+ORRx6JyH06kcwjjzyCy+VadynJw8c+9jHuv/9+/vCHP/C9733PR9H5H2NbG855e9eikVfb2ojTajlv8+Z1n0MIwQf27OGHTzzBUydO8IG9e30YoURmYvyMZ6aE2Wxe1fGf+9znaG1tpampieuuu27dpQzJxrjrrrsA+MxnPuP+htkMXV3Q2wv9/TA05P7eOUhKSuJd73oXr7zyiuxSCjMefPBBdDod733vezd0nquuuoq8vDzuvfdewmlCuuHkyWCHEFSmLRaO9fWxp7ycxFXMhzob79i2jVSdjj8dPRpWz4FwQIoYP7MWEaPT6XjPe97jnQi7f/9+enp6lj12eHiYG2+8kYaGBtLS0hBCIITgtdde81ns0YrZbOahhx5i//791NXVucXLa6+5N5ifOAGNjXD0KLz6qlvUnIMbbrgBl8vFY4895v/gJT5haGiIV155hauvvpqUlJQNnSsmJoYPf/jDdHR0eBe1hjouhyPqS0kHOztxulxcXFW14XPpYmO5cutWevR6+sO0Uy1UkSLGz2i1WhISEpiamlpzl9Ivf/lLrrvuumUfe//738/FF19MY2Mj3d3dpKenc+bMGS5ah4NespAHH3yQubk5PvvJT8KhQ27xstz/O0Vxi5rmZvfnK3DNNdcQExPDn//8Z/8FLfEpDz/8sHeRoy/42Mc+BhA2Bl9jSwuucJ80vEE8s10u9IGIAdhfUQHAoTDzRoU6UsQEgKSkJFwu15q22v7Hf/wHHR0dyw7YevPNNzGbzXz1q18F3O3cpaWlfjMQRxtPPPEEWq2WG/PyQJ26bLfbMZlMGAwGxsfHGR0dfXv2R1cXHDkCKww2zMjI4PLLL+fvf//7qsuKkuDy4IMPkpSUxNVXX+2T8+3cuZOtW7fywAMPhMUagmgvJTmcTt7o7KQ2P3/dXUmL2V1ailYI3pIixqdIERMA1uqL+c///E/+/Oc/89RTTy27p6WxsZGdO3d6vzabzfT09NDQ0ADAT37yEy6//HIuv/xyJicnN/4LRBEOh4OXXnqJvVVVpKkTeqenpzl16hTt7e10dnbS3d1Nb28v7e3t9Pb2ujNsIyPw+usrCpkbbrgBm83GE088EchfR7IO+vr6OHjwINdee+059yStFiEEH/3oRzEYDDz99NM+Oae/cNntTKldOdFKU38/UxaLT0pJHpJ1OuoKCznS04PD6fTZeaMdKWICQFxcHHFxcasSMbfeeiv3338/zz333IptndnZ2TQ1NWG1WrHb7XzlK1/hC1/4AqmpqRw8eJCRkRFeeOEFPv/5z0sfxho5dvQok5OTXLF9OwAGg4EzZ86suMxzdHSU1tZW9+OTk7DCePHrr78eIYQsKYUBnsF0violefjgBz8IwFNPPeXT8/oafXMzrihfXutprb64utqn5923eTOzNhvNQ0M+PW80I0VMABBCkJaWhtVqxXKWlsWBgQG+8Y1vMDExwYEDB2hoaGDfvn1Ljrv22mvZs2cP9fX17N+/n8rKSn74wx8C7jbxV199lcsuu4yf//zn6HQ6v/1ekcgLDz8MwOX19QwMDNDZ2XnOboKpqSmam5uZnZ11l5aWKRvm5eVx0UUX8dRTT7mPk4QsDz74IKmpqbzrXe/y6Xk3b95McXExL730kk/P62uMp04FO4SgoigKr7a1kZuSQnVenk/PfV55OYAsKfkQOSdmHhttpTwbExMTjI+PYzabVxQWRUVFq2q/i4uL4+67717xOvfddx/V1dXY7XZiY2M3FHdUYTLx/PPPo4uLIy8ujqE1vFuy2WycPn2auro6Ek6ehAsuWHLMDTfcwKuvvsqzzz677gmwEv8yNjbGkSNH+MhHPrKh+UDLIYTgsssu495772VkZIRNmzb59Py+wGm1MtXREewwgkqPwcCAycT7d+/2dor6iq2FhSTFx3Oou5vPXXqpT88drchMTIBISUlBCOF3Y+fnPvc5PvGJT3DgwAG+8pWv+PVaEYXTifWtt3jt9Gn2VlQwswYTtgeXy0Vvby8YDDA4uORxz2BCWVIKXV599VUALrvsMr+c33PeV155xS/n3yjjJ0+iRLlfw9OVdImPS0ng3my9p6yM5sFBpqJ8kKCvkCImQGi1WlJSUpiamsLpxxeJhoYGDh48yIsvvsj//M//+O06EUdzMwePHcNis1Gfn7/u00xOTrp3ZZ0+vcTkW1payq5du/jb3/4ml4KGKB5xcckll/jl/B4RE6olJWOUdyWBW8QkxsWxax1LX1fDvs2bcSkKR1eYASZZG1LEBJC0tDQURVlTq7UkAOj10NvLCydOAO5WyI3Q19eHc2YGlhkWduDAAUwmE2fOnNnQNST+4dVXXyU3N5dqP7wLBygvL6eoqCgkRYx9ZoaZKL+xGmdmODkwwL7Nm4mL8Y/bQvpifIsUMQEkLS0NWH2rtSRAqGLj6SNHSIqPp3YDmRhwz5QZHByE7u4lJl/PMEI5WTn0MJvNNDU1cfHFF/vcC+HB44s5c+YMo+oMolBBf/IkSpRnCA92dKDgn1KSh6KMDArS0znU3e23a0QTUsQEkPj4eOLj4zGbzXJ/Rqig14PRiH5igmPd3ewqKSFGs/F/FiOjo+4upJaWBd+/QDX8vv766xu+hsS3vPHGG7hcLi6++GK/XsdTUnr55Zf9ep21Eu1dSQDH+vqAt7Ml/kAIwXnl5QyYTAzKFQQbRoqYAOJptbbZbGdttZYEkPZ2FEXhTy++iNPlYndZmW/Oqyj09vS4J/7OzXm/nZubS1VVlRQxIYjH1BuNIsY2OcmMegOPZk4NDJCflkb2BvdlnYt96lZsWVLaOFLEBBhPSUlO0g0BjEbQ69Hr9byqelT2LvMOLGFsjLInnqD06adJ6+xErDCVdzFTU1Pox8dh0c3hwgsvpKuri5GRkY3/DhKf8eqrr5KSksKOHTv8ep3NmzeHnC9m/MSJs+7/igbMc3P0GAzUFxX5/Vp7ysrQCMFbsqS0YaSICTBJSUkAzMzMBDkSiScLMzQ0xJHubjISE9mck+N9OGlggKoHH6T+f/+X3OPHyTtyhJr77ydxDeJjeHjYvel6ntfgwgsvBGRJKZSwWCwcOnSICy+8EK26bsJfCCG49NJLOX36dMjsO5NdSXBKHYsQCBGTmpDAloICjvb04IhyH9JGkSImwMTExKDT6aSICTYTEzA2hsFgYMxkom10lN3quyMP+W++SUZ7O8baWpo//WlOfOEL9F51FTMFBQCkdndT+tRTZ30HOzc3x5Re796tpOIx90oREzocOnQIm83mt9bqxYRSScliNDInx+BzcmAAgPrCwoBc77zycqYsFs7Iv/2GkCImCCQlJXn3Hm2Ev/zlLzQ0NNDQ0MC1117ro+iiBDULMzg4yJHeXsCd4p2fMRk4cIATn/88HTfeyExBAZbsbEb37QPV+Jt79Ch5R49Sdg4hMzY25s7GqNTU1JCVlSU7lEIIz3wYf/thPITSvJixxsZghxASnBoYID4mhiofrxpYCY8v5rAsKW0IKWKCwEolJYvFwvXXX091dTU7duzgqquuouMsI8Df97730djYSGNjo1z0uBYmJ2FkhJcbG/nqH/7ADx5/HIDs5GSqHn6YkmefBZcLS1YWlnnlpcV0Xn895vJyco8dc//MCkLGaDRiHx6G6WnAXU644IILOH78uNyjFCK8+uqrxMfHs3fv3oBcr6KigsLCwpDIxEycPh3sEIKO0+WieWiIrQUFxPi5nOihrqCAGI3GW8aSrA+5O2k+6s3ML8zbyzRfxCzeVP25z32Od7/73QghuO222/jsZz8bEu/WIor2do53dvLOW27B4XLhUsXHxMMPk6Eo6Ldtg1XMCVFiYmj/4AepfuABNh0+jBITQ//lly/5WUVR0Ov15Pf0wLZtgNsX8/jjj3Po0CG/jbiXrA6Hw8Ebb7zBvn37fL4vaSU882Luu+8+xsbGyM3NDch1FzM7NoYlxObVBIOu8XFmbbaA+GE8xKlZn9PDwyiK4rfZRJGOzMQEgYSEBIQQSzIxOp2O97znPd4n8/79++lZYYLm8PAwN954Iw0NDaSlpSGEQAghSxTnwmqF4WG+e++9CwTMFcD3FYXOuDh6rr56VSIGwBUbS9tNNzFVVET+wYOkrpAaHhsbQ+nvB3XlhDT3hg6NjY1MT08HrJTk4VJ1AWAw9yiNHT8etGuHEh4/zLYA+WE8bC0owDQzw4gcgLpupIgJAhqNhqSkJGZmZs469O6Xv/wl11133bKPvf/97+fiiy+msbGR7u5u0tPTOXPmjNc0KlmBwUEUl4um7m6vgCkG7gemgU/Ex+Na4+ZvV1wcbR/6EF1XX82kWudejNVqZXLeYsg9e/YQFxcnRUwI4JkPEyhTr4dQ8MWYZSkJmGfqDWAmBmCLOh389PBwQK8bSUgREySSkpJwOp0rDr37j//4Dzo6OvjRj3605LE333wTs9nMV7/6VQAyMzMpLS0NmXbNkKa/H5PJRGVuLhohEMBDQA7wSSBW7TxaK06dDv3One4vFGVZf8zY2BiomTWdTseePXu8U2IlwePVV19Fo9Fw/vnnB/S6lZWVFBQUBM0XMzUwgNVoDMq1Q42Tg4MUZWSQqZb6A0WdmvmRHUrrR4qYIHG2eTH/+Z//yZ///GeeeuopEhMTlzze2NjITs8NE/fOl56eHhoaGvwWb0QwOQmTkwwNDfHZSy4hRqNBAb4IfBp4UqvlMxt8Nx5vNFL7+9+TsWjdAIBpYgLb+Lg7DtwlJbPZTHNz84auKVk/iqLw6quvsnPnTlL8PKV1MUIILrnkEk6dOsXExERArw0wLruSAJiYnaXfaAx4KQmgNCuLhNhYTksRs26kiAkSycnJwFIRc+utt3L//ffz3HPPLTH9esjOzqapqcnbpv2Vr3yFL3zhC6Smpvo77PCmv5+ZmRlmZ2epzsvjzk99ilitllNaLd01Ndz16U9TvcH2Smd8PIljY5Q89xyaxS30isL4+DioqWPpiwk+LS0t6PX6gJeSPOzZsweA44H2piiKLCWpBHLI3WK0Gg21+fmcGR72lrcla0OKmCARGxtLbGzsAhEzMDDAN77xDSYmJjhw4AANDQ3s27dvyc9ee+217Nmzh/r6evbv309lZSU//OEPAxl++OFyweCgW0SoVJhMXOd0cu327fz4Ax/YsIABcCQlMXjppcRPTpL/xhtLHh8bG0NR33XJZZDBJ1D7klZi9+7dABw7diyg1zV3d2NftGE9WjnR3w8ER8QAbCkoYNZmo9dgCMr1wx3ZYh0khBAkJSUxMTGB0+lEq9VSVFS0qu3WcXFx3H333QGIMoIYH8c1N4dh3gtFyUsvcR/w88zMZX9Eq9V6N4/Hx8djMpmwWq3nvNTY7t3kHDtG/sGDjO/YgW1eRs1utzM1NETq9DQ5OTlUV1dLERNE3nzzTeDtrFig8ZSFjx49GtDrylLS25wcHCQhNpaKILW516k+vDNDQ5RnZwclhnBGipj5zJvlEgg8ImZ2djbg9fioQzX0OtUW5+S+PooMBu4EChctfYyPj6e2tnbJzJDCwkKGh4cZGh4+64ReRaul753vpPa++yj5+9/puPHGBY+bTCZSh4ehqoqLLrqI3/72twwNDVGwTlOxZP0cO3aMwsLCoM1pSUtLo7KyMqCZGMXpZLK1NWDXC2UcLhenPUPuNMEpTGz1dCgNDfGe7duDEkM4ExLlJCHEfwkheoQQihCi4SzHfUYI0S6E6BRC/EYIsbZe2BBjJV+MxMfY7TA6uqCUVPD667iAX2g0C5Y+xsbGLitgAG+2bNu2bd7/dysxWV6OccsWXLGxCFU4eTAajd5dStIXEzysVivNzc3s2rUrqHHs2rWLtrY2pgJU3jG2teGQk6IB6Bwbw2K3sz1IpSSA/PR00hISpLl3nYSEiAH+BFwE9K50gBCiHPh34GKgEsgDPheQ6PyEp/NoWh1HL/ETg4NY5+aYVLuCEkdGSO/s5K9aLWza5B0zrtVqqVlOwMTEQHY2qPNjEhMS2LJlyzkzJx3vex9d112HsmiMud1uZ3pgAObmvG29hw4d8sVvKlkDzc3NOByOBZ1+wWD37t0oikJjgEo8hhMnAnKdcCBY82HmI4Rga0EBbaOj2Be94ZGcm5AQMYqivKIoysA5DrsReExRlBHFbRz5NfBh/0fnP7RaLQkJCTIT42/6+xdkYfIPHgTgFqeTWjWVq9FoqKmpITEhwX1QURE0NMCBA/Cud8H558Pll0N5OajTkYuKisjIyFj5up70tMuFZpGXZmJiAoaHqa6uJiEhIWA3MMnbeDqCgi1iPJmgQPhiXHY7k21tfr9OuBCsSb2L2VpQgN3ppEPO+lozISFiVkkJCzM1Per3liCEuFkIMeD5WC7T4RntvxojrT9JSkrCbrdjs9mCGke44fn/ds59I9PTKCYTer3e+62+K6/k6V27aMQ9MVMIQVVV1dslos2bYedOKC6G5OS3VxDExbl3H112Gageis2bNy87y8dD7OQkO26/naJFA82MRiMMD6PVatm+fTuNjY1Bfy5GG6EmYgLhizGcOYNLvtZ4OTkwQHFmJuln+TccCLaqWV1ZUlo7EWnsVRTlVuBWz9dFRUVL7g4ajYbY2FgMBgNZWVlBW76VoL7zn5qaWnEujGQhdrud0dFRdDodmnOZ8YaGmJycXCAS7SkpPKDTAe72xry8PNLS0twP5ufD1q1nP2dyMuzbB/39aBsbqayspLm52WsaXhBrSgrOuDiym5oYuPRSXGqpymKxMDc4SILVSkNDA2+99RZDQ0MUBvkdYTRx7NgxMjMzKSlZ9r1QwMjMzKSsrCwgmRhZSnob89wcgxMTvLu+PtihvL1+YGiI96tt95LVEU4ipg+omPd1mfq9dVNSUkJfX5/7XXGQsNvt6PV6bDbb2UsTEi9CCNLT01fXUTI66s3CCKeT7MZGTLW1nBkeJj4mhrKcHDZt2uQ+NjMTdu1a9fJHiothehpdRweVlZW0trUt7VoSgtG9eyl/8kmyT5xgbO9e70Mmk4mEkRFvJqCxsVGKmADhdDppamri/PPPD4ntwbt37+Yvf/kLMzMz3mnevsYxN8dUR4dfzh2OtKvbu30xH2qjZCUnsyk1Va4fWAfhJGIeAV4TQnwfGAW+ADywkRPGxcVRWVmJy+UKWirf6XRy5ZVXsn37dp555pmgxBBOeLZ1r+rGY7Xi0Ou9IjW1p4fyp54iZmaGlpERqjdtIi87m7i4OEhKgr173/axrJbaWpiaIg0oKixkYGCptctQX0/xiy+Sd/gwY3v2eEWSyWSiYHjYuy6isbGRq6++em3Xl6yL9vZ2Zmdng15K8rBr1y4eeeQRmpqavEMQfY3+5EkUaRz14hExVSEgYsCdFX65tZVZm43EuLhghxM2hIQnRghxhxBiACgCnhFCdKjfv1MIcS2AoihdwL8BrwMdwDhwhy+ur9Fo0Gq1QfmIi4ujvr6eg6rZNFhxhMuHRqNZ/TvnsTGMRqNXoGaqY9ZbiouZnJtjS34++fn5bq/L/v3u/64VIdzZm5QUCgoKlm29dsXGMrZzJwlGI2mdnd7vz8zMYB0cpL62Fo1GI829ASRU/DAeAjG513jypN/OHY6EmojZWlCAS1FolRut10RIiBhFUT6vKEqRoigxiqLkKYpSqX7/s4qiPDbvuN8oilKhfnxGURT7ymcNHxoaGpidnaWrqyvYoUQWo6OYTCbAXUrKaG1lJi+PI3NzAOz0mHKrqmAjxr6YGDjvPIiLW9FfMbZ7N/bERGIXmcxNJhOJk5NUV1dLERNAPGIhVESMvyf32iYnme5dcYJFVNI+OkpOSkrQTb0evEPvpIhZEyEhYqKd7eqUxhPSdOc7XC6cIyPe2TBpXV3EWCwY6+o4o75IXL5rl3v2iy+MnYmJsGcPySkpZC8zOtyWlkbjV7+KftGm8QmTCUZGaGhooKOjI2ADz6Kd48ePk5iYSHV1dbBDASA3N5eioiK/ZWLGm5rOOmU62nA4nXTr9VQGaVLzctTm5yOQHUprRYqYEECKGD9gNDI5v5TU3AyAYcsWzgwPkxAXx+7qaigrc2dSfEFWFpSUUFRUtGzXlHfoncvl/d7k1BT24WEaduwA5HMgECiKwvHjx9mxYwfaRYMIg8nu3btpbm5mTs0U+hJZSlpIj8GA3ekMmVISQLJOR2lWlhQxa0SKmBBgy5YtaLVaeQPzJWNj7oFyKpNlZYzt2oU1PZ2W4WF2lJaijY11D6/zJbW1xCUlrTjNN+/QIRp+9Ss0drUSqihM6PU0VFYCyJJSAOjv78doNIZMKcnDrl27cDqdnPSx4JjT65mTJYoFhJofxsOWggKGJiYwy7UQq0aKmBBAp9NRU1MjRYwPUUZGFogYfUMDPe95DwMmE9NWK/tqa91TeZfZkbQh4uKgupq8vDx319Nyh0xNkdbe7v3aNDFBg9rm7TGcSvxHqJl6PXjMvb72xYzJ59QSQlXEeNq95eTe1SNFTIiwY8cOurq6vB4OyQaYmWFmdBS7mu3QWizehzx+mL1VVVBRseyPb5iyMrSpqRQXFy95yLhlC4oQZKnlLYCpyUlyXS42bdokMzEBINRMvR78Nbl34tQpn54vEmgfHSU+JoaSzMxgh7KACtWj0zlvTYrk7EgREyJ4fDGn5AvOxplXStLYbDT88peUPv008LaI2XP++e7Ju/5Ao4G6OrKyspa0XNtTUpgsLSW9o8MrrpxOJzODg+zcsYNTp055xZfEPxw/fpyYmBi2bdsW7FAWkK+2/PsyEzM1MIA1iMM8Q5X2sTEqcnPRrnUulJ/xGI1lJmb1hNb/wShGmnt9yOioV8Skt7ejtduZy8oC3Ia+xPh4qg4c8G8MeXmQk0PRMttxDdu2oXE6yWhp8X7PbDbTUFWF1WqltbXVv7FFOcePH6eurm7ptvIQYNeuXZw6dQrrooWh62VclpKWYJiexjQzQ1UIdSZ5yExKIj0xkU4pYlaNFDEhghQxPsLhwDo0xKxqjMs8fRpFCExbtgDQMTpK3ebNaFRR41fq6khNS1syRt5UW4tLqyVt3lwgs9lMg1p+kiUl/zE+Ps7AwEDIlZI87N69G7vd7puMrKIwoQ54lLxNqPphwD2RvCInh67xcVyyJX5VSBETIhQWFpKRkSFFzEbR6zGp6XON1Up6RwdTJSXYk5OZmJ1lbHKSbWo7s99JSYHS0rd3M6k4dTpOffazdL7vfd7vTc/MUK/W56WI8R+haur14EtfjKmjA8ei4YqSt0VMZQiKGHD7YmZtNkbmNSZIVkaKmBBBCMH27ds5ceJE0PY4RQSjo+4Bcrh3JWmcToxqFmZQNU1v27MncPFUVpKZlbWkdGHJyVm4aFJRyImNJSkpSYoYPxIuIsYXXWp6+TxaFm8mJgTLSTDPFyPNvatCipgQYvv27UxNTdErx4OvG+fwsHfqrc5oRBEC8+bNwNsipl4t3QWEhAREYeGSbAxAalcXhS+95P16ZmqK7er6ASlk/YNHHDQsmpwcKhQVFZGWlkbzvO619eCy2zHP81xJ3qZ9bIz8tDSSdbpgh7Is3g4l6YtZFVLEhBDSF7NBZmYwj456BcDI+edz7BvfwJqRAUC3wQAQ+K6Uigqys7OJWTQZOPvECQpfe414tfxlNptpKC/HYDAwODgY2BijhOPHj1NVVUVKSkqwQ1kWIQR1dXWcOnVqQ0LWcPo0LpvNh5FFBlaHg169PiT9MB425+QAskNptUgRE0JIEbNBjEbvwkcPTp0OhCA2NpbWoSEyMzOXzYr4lbQ0tHl55C5KXxtUMeXZrm2xWKhTX8BkScn3TE9P097eHrKlJA/btm3DaDQyqpY91oO+qcmHEUUO3ePjOBUlpEVMYlwchenpMhOzSqSICSG2bduGEIIm+QK0LhS9HrPZDEBaZyf5b7xBjNqllJaWxqn+fu/fOOBUVJCXl7fg2pPl5dgTEsg6dcq7nK9SXR4pRYzvaW5uRlEU75uFUKWurg5Y/8wox+ws052dvgwpYmgL4c6k+VTk5tJnMGBzOIIdSsgjRUwIkZiYSFVVlczErJO5wUEc6j/67KYmil94wSsOZhUF8/R08Aac5eYSm5lJjpppAfdCSOOWLSTq9SSo77qKUlPRaDRy/YAf8PhMPCIhVPE8R9frixlrakKZt2RU8jahbur1UJGbi1NR6FFL4JKVkSImxNi+fTvt7e3eOSeSVWK1MjUy4v5cUUjt6WEmLw9HUhJCCHpU30l9fX3wYqyocJey5mVjjOoN1VNSss7NUVtcLDMxfiBcRMxGMzFG+SZoRTpGR0mMi6NA9cmFKpXS3LtqpIgJMbZv346iKBvuTog6DAam1ZkYCWNjxM7OMqluqE5LS+NMsEy98yksRJeeTnpamvdbU8XFDF58sXcYn8PhoK6wkK6uLm+XlcQ3nD59Gp1Ox2a1Wy1Uyc3NJTs7e12vARajkdmBAT9EFf4oikL72BiVubloglFSXgOyQ2n1SBETYkhz7zoxGr3LM9O6uwG8IiYjI4NT6s6koL4L12igvHxBSQmNhsFLL2V2ntm4XPXFnDlzJtARRjTNzc3U1tai1WqDHcpZ8XQoeTw8a0FurF6Z0clJpiyWkPfDABRnZhKn1coOpVUgRUyIIUXM+pgbGPAuTkzt6sKl1TJVUgJAeno6p7q7vVORg0ppKWmZmcTGxi74trDbiVNNycXp6YA7cyDxDZOTk/T394d8KcnDtm3bmJycZGCNWRXTyZN+iij8CeV1A4uJ0Wgoy86WmZhVIEVMiFFaWkpKSooUMWvBbmd6aMj7paG+nqGLLsIVG0tycjKa9HROt7SExtbi2Fg0xcVkq9kWAOFwsPOXv6TsiScA2KRuvpYlRd/hEYThImLW44uZGhjAKo2gKxJOIgbcJaWxqSkm5+aCHUpII0VMiKHRaKivr5frB9aCybTAP2Kor2fo4osBSE1NpdNmw2KxBNfUO5/i4oVdSjExzOTnk9rbi8ZqpSA9nbiYGE7Ld9U+wyMIt27dGuRIVsd6OpTkxuqz06mO8d88v5wbwnh9MXL9wFmRIiYE2b59O0ajkaF52QXJWTAYvCJGs2hKaUpKCqf0eiDIpt75ZGaiy8paMDV2oroajdNJWnc3MRoNm3NzOS0zMT4jXDqTPKw1E6O4XEzI58tZ6dHryU9LIzEuLtihrArZobQ6pIgJQXaoW5bl0LvVYR0exmq1AlD7hz+w9be/dT8gBMk5OZzq6gJCSMQAlJQsyMaYqqoASG9rA6A8J4eegQFmZmaCEl6k0dzcjE6no1w1e4c6mZmZ5OfnrzoTY2prwyGfKyvicLnoMxgom1fGDXUq1NcHKWLOjhQxIYg0964Bp5Mp1fyonZsjaXgYW2oqAEmJiWgLCjh16hRCCLaobcwhQVERGZmZ3k4ZW3o6szk5pHd0gMtFiWrulR1KvqG5uZktW7aEfGfSfOrq6jh9+jSuVQyukxurz87QxAQ2p5PyMCklAeSkpJCq08kOpXMgRUwI4qnby+6UVTAxwdTEBACpvb0IRcGsvttOTkmBrCxOnjxJRUUFiYmJQQx0ETod2vx8srKyvN+aqKrCodMRNzXlfcd4+tixYEUYMZjNZgYHB8OmlORh27ZtzM7O0tPTc9bjnFYrk2oGT7I8PWpJuXzev7dQRwhBRW4uXePj0h95FqSICUHS09PJz8+X78JXg9Ho9cOkLpoPk5qSgiUpifb29tAx9c6nuHjBUsjBSy/l5Be/iC0tzfuO8bQ0a26YcOtM8rBaX8z4iRO41PECkuXpVs2x4ZSJAbe5d9pqZVSdgSVZihQxIcqWLVtoaWmRCvwc2IaHsVgsAKT09mJNTcWqzoJJzsujtacHp9MZWn4YD3l5JKanezNEyrxSR3FGBjFarTT3+oBwM/V6WG2HklwzcG661UxMOHli4G1fjCwprYwUMSHKli1bmJ6eXvOwq6hCUZju7wfcXUk6k4npoiIQAp1OR+ymTd53sSEpYjQaKCpaYPBN7uuj8k9/InFqipLMTJrb271LLCXrI1xFjKesfDYRYzWbme7tDVRIYUu3Xk9OSgopOl2wQ1kTskPp3EgRE6J4TKjSF3MWJieZMpkAcMXFcfSb36T3He8A3K3VZGeHtogBKC4mMzPTuxQydmaGzJYW0tvbKc/Opnt0lFl1SJdkfTQ3N5OQkEBZWVmwQ1kTqamplJSUnLWcNHbsmBS558ClKPTq9ZSFkR/Gw2YpYs6JFDEhiuddmPTFnIV582HAPTTOoU67TU1NhcxMTp48SWxsLFVqC3PIkZpKbE4OqerMGPPmzbi0WjJUEaMoCq1HjgQ5yPDG05mk0YTfy11dXR0tLS04HI5lH5drBs7NqNnMnN0edn4YgOT4eHJSUuiRk5hXJPz+VUcJnkyMFDErY9frmZ2dBSDr5ElS5nVxJOfmQkICp06dYsuWLUt2FYUUxcXeLiVXfDxTpaWk9PZSo3p7mmWH0rqZmJhgaGgo7EpJHrZt24bVaqWzs3PJY9ODg1jkNNdz4vHDlIeZH8ZDeXY2vQYDLplxWxYpYkKUvLw80tPTpYg5C1OqHwZFofTppyl66SUA4uLiiC8oYHJykt7e3tAtJXnIzydjXklpoqICjdPJXrXj5NSpU7JksE7CtTPJgyfu5XwxY1LcroqeMBcxZdnZWOx2RtUFsZKFSBEToniGs0lPzAo4HMyqdWKdXk+M1eo29aL6YbKyvAIw5G9g8fHE5OaSpg7p87SIV+n1aIXgZGcnyBbLdRGupl4PHgG+2Bcj1wysnnDtTPJQqmZpe2VJaVmkiAlhtm7disFgYFymjJdiNjM9PQ1A8uAgANOFhcBSERNSk3pXoqDAbfAF5nJy6H3HO9Dv3k1xZiZnBgZAfSGWrI1wFzFbtmxBCLEkE2NsbZVrBlZJt15PemIiGUlJwQ5lXXjEV7d8DVgWKWJCGOmLOQtms3evULLahu7NxOTkQGIiLS0tQJiImE2byMjIQAgBQjB63nlYsrMpz8mhd3wciyrUJGujubmZxMRESktLgx3KukhMTGTz5s1LMjF6OQRxVSiKQo9eH7alJHi7DCYzMcsjRUwII0XMyswND+N0OgF3Jsaamoo9JYWYmBgSVDHT0tJCTEwMFRUVwQx1deh07pKSujMJ3LugdqWk4FIUTjc1wSp26EgW0tzczNatW8OyM8lDXV0dbW1t2NQN7Y65OblmYJUYpqeZsljCtpQEkJmURIpO5/X2SBYSMv+yhRBVQog3hBBtQojDQogl+V8hxGVCiDkhROO8j4RgxBsIpIhZmZmhIfcnisJ0UREGtVzg2ZcE7r9bRUVFaHcmzaeggCy1pBQzO8uuW2/l4yMjABw7cwaksW9NmEwmhoeHveMKwpW6ujocDgft7e0AjDc1oagCXnJ2wr0zCdz+yNKsLCliViBkRAxwB/C/iqJUAz8G7lnhuFZFURrmfcwFLMIAU1paSkJCgjT3LsbhYM7jExKCnquvZuCKKwD3viSysrDZbHR2doZHKclDfj7p6ekIIXAkJjKXnU2lmkI+2d0tfTFrJNz9MB5qa2sBaG1tBcAgN1avmkgQMeD2xZhmZzGrIyUkbxMSIkYIkQvsAf6gfusRoFgIURm8qIKPRqOhtrZWZmIWM88Ps5jkrCxITqazsxOn0+m9AYQFOh3anBzS1ZLSZHk5ibOz1APN/f0ga+JrItzbqz14nsMtLS3M6fXMSn/UqvG2V4fhoLv5eMphcujdUkJCxADFwLCiKA4Axb31sA8oWebYCiHEMbXk9MXlTiaEuFkIMeD58HSxhCNbtmxhYGBgwWTaqGeeiCl//HE2P/ooKApCCBKLi4G3S3BhJWIA8vO9XUrmzZsBeH9iIh0jIzjGxqQvZg1ESiampqYGcIuYUTm9eU10j4+TFB9PtjrJO1zxrEyQJaWlhIqIWS3HgCJFUXYB7wO+IIT44OKDFEW5VVGUIs9Hchg/gT3lEE+njWSeqVdRyGhtJX5iAoQgKSkJjfqOJaw6k+ajlpQ0Gg1TJSW4NBreIQQDRiN6vR7UXVGSc3PmzBkSExMpKVnuvVD4kJaWRn5+Pi0tLXLNwBrpVjuThDpIMlyRmZiVCRUR0w/kCyFiAIT7GVeCOxvjRVGUSUVRzOrnA8D9wMUBjjWgyB1KS5lR0+k6g4EYi8U7HyYpKclr6vWIGM+72LAhIQFtdjapaWm44uKYLi4mQ6vFqSg0dXTIktIaaGlpoaamJqw7kzzU1tbScvo0NmnuXjUTs7OYZmfD3g8DUJCeTqxWKzMxyxAS/7oVRRnDnWX5qPqt9wMDiqJ0zD9OCJEvhNCon6cA1wARPTBBbrNehMPBrGrq9c6H8YiYtDRQFymeOXOG/Px80tLSghPnRsjPJ0P1xbR+5CM8dOAAIM29a2FmZob+/v7wKyeuQG1tLVMzM+jDuDQeaLojxA8DoNVoKMnMlCJmGUJCxKh8Hvi8EKIN+GfgUwBCiDuFENeqx7wfOCmEaALeBJ4D7g5GsIGisrKSmJgYmYnxYDZ7lz56J/Wqc2ES8vNBCBRFoaWlJXxvYPPEl6LVsll9ET4zMIB9bAxke+05aVPnqIRdJm4FairdPQ698ia2arrVNzvhPCNmPmXZ2QxPTGBRd6pJ3MQEOwAPiqK0Aucv8/3Pzvv8NuC2QMYVbGJjY6msrJQiRkWZmFgwqdeakoI9NRWtVktifj4AQ0NDTE9Ph58fxkNiInE5OSQmJjI7O8t5/f38HPibwcDkxARZRiNEwLtLf+IpJ4atkF1EnjrrqMdgYI+6W0tydjz+kUgoJ4FbxChAn9FIdV5esMMJGUIpEyNZga1bt9LZ2YnVag12KEHHMjLindTb/d730nP11YB7PLvIyAAi5AaWm+tttc7u7eXLgGl8nMnJSemLWQUR8RyYR7Yq3OXo+dXTPT6OLjaWTeFYUl6GUtmhtCxSxIQBW7ZsweVyeVPk0cz0vBkZMwUFmNU0e2JSEqg3/bBtr55Pbq63pDRZXo4WqDQamZiYkL6YVeAZDFdVVRXkSDaOxWgkeWYGXWysvIGtgW69nrLsbDRh3pnkwbtDST4HFiBFTBgg1w+ozJvUG2c2o517e1hzUno6JCYCYdxePZ+MDJIzMtBqtZjV8sGlLhe94+NYR0fB4QhygKFNS0sLpaWlJKrPiXBm9MgRNLjfictMzOqYtloZn5ryzleJBEqyshDINuvFSBETBkgRozJvyF3x88+z62c/Q6OW2JLUDiVw38CSkpIonPe9sEMIhJqNsWZkMKHTcSnQZzAwaTaD0RjsCEMWT9YyIky9ioKxqQlwi5jRyUlm1UWQkpXpjZB1A/PxlMZkNm4hUsSEAbW1tQghol7EKCaTtzMpcWQEa0YGrvh4tFqtuzNJ5cyZM96/WVjj8cUIwdimTdQB+qEhty9GvpCtSH9/P3Nzc+FdTlQxtbdjn5wE3vZE9Ml34ufEk7EqiaBMDLjNvX0GA045uduLFDFhQGJiIqWlpVEvYuZUU6/GZkNnNDKjCpekeX6YyclJhoaGwruU5CEnx+uLMezcyReAHrNZiphzEEmm3vFjx7yfe1qFZUnp3HiEXmmEiZjy7GxsTifDExPBDiVkkCImTNiyZQutra3ezpxoZGZoCIDE0VEEMKu2Gc4XMR5DZyTcwNDpiM3Kcq9T2LqVe+PiOG0yYbfbsYyOgpwXsSye50C4l5OcFguT6u8CsjtlLfQYDAigSN1DFil4nwNSyHqRIiZM2LJlC1arlZ6enmCHEhzmTepNGhkBYGbTJgASMzMhPh6IkM6k+ai+GCEEJVlZzKg3MNlqvTKRkokZPXYM1zwDd3FmJgKZiVkNfQYDBenpxMeEzCg0n+DdoSSFrBcpYsIEz7vK1nnvzKKKqSlm1JHrsdPTKEIwq4qYxaZeCPPOpPnMmxfzQ5uNMzMz2Ewmt4hRRZ1kIS0tLaSkpJA/zycVjhgaGxd8rYuNJT89XYqYc+B0ueg3GiPODwNvG5WliHkbKWLChGgXMcrkpNfUO3DgAEf+6Z9wJCURExODThUz4L6BabVaKioqghWqb8nIICktjZiYGGbV1Lj9zBkmJydRxsaCHFxo0traSk1NTVgbu2dGRpgbHl7y/dKsLGnsPAejZjM2pzPi/DAAaYmJZCQmynLSPKSICROiXcTMjY7imvfCrahj2Of7YcBdTtq8eTPxankp7NFovK3W02VlACR2d+NwOJjT60EVdhI3HmN32JeSDh9e9vtlqrFzRG6zXpFedfxAJIoYUOcF6fUoihLsUEICKWLChLy8PFJTU6NXxKhZh3iTiU0HDxKvvlDNFzF2u52Ojo6wv4EtQS0ppZSWMgwUjI4CYDabZZfSIiLB2K04nUycOrXsY9LYeW56I7QzyUNZdjaTFgtGdWZWtCNFTJgghKCmpibqRUxKTw8lzz9PguoHSczNBTUr09XVhcPhiBw/jIfcXFJTUynOyuJloHh2lpjZWbeIkb6YBURCZ5LhzBkcK2TYPBNo5ej5lfH8bSJZxIA0eHuQIiaMqKmpYXh42G3qjCasVixq+jxJzUJ426sLCryHRVxnkgedjtjMTNKSk2nU6bABCePjTE1N4RwZAZlW9hIJnUnjR4+u+Fipx9gpb2Ar0mswkBgXR1ZycrBD8Qsew7IUMW6kiAkjPO8uo24R5NTUgkm9Dp0OW1oasbGxxM9bSR8JN7AVyc0lJSWFFzMzyQSueOwxvvnQQ7zR2AjSH+GlpaUFjUZDpboYNNywmc1Md3Wt+HhGYiKpOp3MxJyFPqOR0qyssDZ2n41S1eAvJze7kSImjIhWc69rYgKL1QouF4mjo+75MEKQlJy8wNQb6SKmx2TiyPAwM8Cw2cyrbW1c+f3v0/TKK8GOLmRobW2lrKwMnU4X7FDWxeiRIyhn6TwSQlCanS3fha/AjLr4MVJLSQD56enEarXyOaAiRUwYEa0iZnZ0FBQFndGI1m5/ez5MUhKoY/nBLWJyc3PJyMgIVqj+IyODXz71FIqisBX4VyBVUXA4ndxy663Bji4kcDqdtLW1ha+IVRQMx4+f87DSrCxMs7OYZWfaEvoivDMJQKvRUJSR4f1dox0pYsKIqqoqhBBRJ2I8pl6EQF9fz6TaaqzLyQGtFgBFUbzzQSISrZaT/f0owKXALcDFgEtROHbmDMyb7Bqt9PT0YLPZwvY5YGpvx7aK0mCp9ESsSKSbej2UZGUxZDJhj+I1NB6kiAkjEhISKCkpiS4RoyheEWPJyqLruuswq36H+ZN6x8fHmZiYCNsb2Gpo2LoVAbysfn0poBGCrYWFIN+VhX179diRI6s6TrZZr0ykbq9eTGlWFk5FYdBkCnYoQUeKmDCjpqaGtra2BYPfIpq5OSzquoH5aLVadPNMvZHQWnsu/u3b3yZGq+U0MI5bxMRoNHzusstkqzXh7Ymyz8wwuUrDvmyxXZk+oxGBe89UJFOi/n7yOSBFTNhRU1PD3NwcAwMDwQ4lMHg6kxSFrXffTeHL7jxEYmIipKZ6D/N0bEWyiNlx8cW88h//QYpOxyvATuD3H/0oBcnJ7lbrKMcjYsLxOTB27BjKKksDhenpaDUa2aG0DL0GA5vS0tCps6MiFU82TnYoSRETdkSbuddhNGKz2YibnCR5cJAYT6v1IhHj+XtUV1cHJc6AEBvLvvPO46KqKl4CtECD1YqiKEwNDYHFEuQAg0trayvp6enk5uYGO5Q1Yzh2bNXHxmi10ti5DC5Foc9giHg/DEhf1HykiAkzok3EzKrD7RLVTIOnM0mXlQUxMd7jWltbiYmJYfPmzYEPMoCI7GyqCwp4AWivqsKelAQgp/fizsTU1taG3XyQyZ4eLGvMqpRkZTFgMuGQxk4vo2YzVocj4v0w4F4EmZqQIEUMUsSEHdEqYpJUETOjipjEeZurwf332Lx5M7ERnkYmM5MtJSWcBu7fupXZ/HwAJiYmolrEmEwmxsbGwrOUtEpD73xKMjNxulwMTUz4PqAwJdJ3Ji2mNCuLfpmNkyIm3CgsLCQxMTE6RIzLhUV9YUocGcGl0TCXkwNCLBAxDoeDzs7OsLyBrZmsLLar2SZvd4qiYLVasfT3R+0KgnA1djstFiZOn17zz3k9EfIm5iUaZsTMpyQzE9PsLJNzc8EOJahIERNmaDQaqquro0PEzMwwp3YmJY6OYsnORomJIUGnQztvoF13dzcOhyPsbmDrIj6e7fX1CKC0u5sdv/wlyYODAJjHx6N2BUG4tlePHj2Ky25f88/J/TlLiZb2ag/SF+NGipgwpKamhr6+Pu8+oYhlaoo59V1G13XX0XfFFYBq6p03qTcqTL3zSCoqoiAjg46ZGeKnpkju7wdUX4xafos2wvU5sBZD73xki+1S+gwGEmJjyU1JCXYoAUF2KLmRIiYM8WQc2tvbgxyJf7Hp9TjUSbRTpaVMVlQAkJCaCgkJ3uPCtZSwbjIzqcrP54mpKRQhSFFFzOTkJM6hoSAHFxza2trCbvHjZE/P29Oo10hmUhLJ8fFRfwObT6/BQEkEL35cjMzGuZEiJgyJFnPvjGrmjZmZQWO1er8/f8gdRMeMmAVkZVFbVITJ6WQiJ8ediVEUXC4XkwMDUdlq7Vn8GB8fH+xQVs3ooUPr/lkhBKVZWdITozJnszE6ORk1fhiAoowMNELQG+XPASliwpBoETGed6mFr77Knp/+lDjV75GkduR4aG1tJS0tLSzng6yLxETqqqoA6MnIIHZuDp36bmzCZIq6LiWn00l7e3tYlZIcs7OYz5zZ0DmKMzMxTE8zPU/gRyvRZuoFiIuJIT8tjX6ZiZGEG54X64gWMU4nVvWFKWF8HGdcHLbUVGJiYojPyVlwaGtrK9XV1VGTRgbYum0bAE06HQApfX2Au9VaibLpvX19fVit1rDKxI0eO4Zrg0s7pSfibaLN1OuhRG2zdkbLGpplkCImDElJSaGgoCCyRcy8dQMJY2PM5ua6W6sXTeqdnJxkZGQkrG5gvqB6xw4AXhCC5k99Cr36td1uZ6anB6LoRS0cy4n6dcyGWYwUMW/j+RuURZmIKc3KwuZ0MhqlXYkgRUzYUlNTQ2trK0qEzgVRJieZm5sjZmaG2Lk593wYIDEpCeZ1H4TjDcwXFNbVkRgfT6vZzExhIYpW631sQq+Pqq3W4daZZO7qwuoD4SGNnW/j+RtE+uLHxXjbrKPo3/tipIgJU2pqapiammIkQksHlrExXC4Xiaq/wyNiEnJyQPP20zbqOpNUREoKVQUF9BoMaKxW0jo70art6CaTCdbZ9RKOhNtzYPStt3xyHs8NW5p73SImLzWVhLi4YIcSUKSQlSImbIl0c++sehOOV8eqz3pEzDLrBiB83oX7DCGoqahgdHKSlJMnqbn/flJ7egCYm5vD0tsb3PgCSFtbG4mJiRQWFgY7lHNin57G7KN/s7rYWDalpkZ9OUlRFPqNxqgy9XrwzAuK5ueAFDFhSqSLmDk1AzO+cydH/umfmC4pQSxaNwBv//5VardONFGrPgda1PKaZ14MwMTAAET6MESVcDJ2jx45guLDpY0lapu1K0LLyqthfGqKWZst6kpJADkpKSTGxclMTCgghKgSQrwhhGgTQhwWQtStcNxnhBDtQohOIcRvhBARvvFveSJaxLhcWE2mt7+Mi0PRaklISECTnr7g0La2NkpKStyG3yijRu1QanY4sCcmLhQxExNRMb13ZmaG/v7+8CglKYpPDL3zKcnKwmK3Mz456dPzhhPR2F7tQQhBcWamzMScCyHE14UQlwohUs999Lq5A/hfRVGqgR8D9ywTRznw78DFQCWQB3zOjzGFLKWlpcTHx0emiJmedq8bUBRyDx8mUfX9LF434HK5aGtrC48bmB+oaWgA3Ka+qeJiEkdGvEMBJ6emcETB9N6Ojg4gPPwwhtOnsfm4i0Tuz3m7lBKNIgbcv/fY1BRzNluwQwkKq83EFALfB3rVLMiDQohv+SoIIUQusAf4g/qtR4BiIcTiGeI3Ao8pijKiuNtyfg182FdxhBNarZbKysqIFTEWi4U4s5myZ54hu6kJgISMDJhn3BscHGR2djb6/DAqVVu3Au4X8eniYoSieJdBoihMdHaCD0sXoUg4mXrHNjChdyVKpLk3amfEeIj2jearEjGKovw/RVEOKIqSAdwAaIHdPoyjGBhWFMWhXk8B+oCSRceVAPMdiz3LHBM11NTU0N3djTXCJnZajcblO5MWrRsIpxuYP0hNTSU/O5s+o5GpkhJmc3PRzBMtEwYD6PVBjND/hIuxe258nKnubp+fV2Zi3L97nFZLXqo/CwWhS3GULwNdsydGUZSTwE1AyP7FhBA3CyEGPB/T09PBDskv1NTU4HK56OrqCnYoPmVW9XIkqB1Ks+o6gcWm3midETOfmooKdyYmP59Tn/scE/MMzmazGVeEl5Q8z4FQFzHDBw+CH8y3eWlpxMfERLUnos9goDgzE60mZCyeASXahx6u1hPzUSFEredrRVGcwKaz/Mha6QfyhRAx6vUE7gxL36Lj+oDSeV+XLXMMiqLcqihKkecjOTnZh6GGDpFq7rWo2QOPiJnLySE2Npa4ZdYNQHSLmOqaGqatVowzM0seczqdTLa1+eXmGSq0traSn59Pagi/C3fZbEycPOmXc2s8xs4oLSXYHA6GzeaoLSWBnBWzWun6buBRIYRZCPGqEOJR3KZan6AoyhhwDPio+q33AwOKonQsOvQR4FohxCZV6HwBeMBXcYQbkSpiPDuTEsfHsaal4YqPJyEhYcG6AXD/3jqdjuLi4mCEGRJ4OpT6DAaS+/qo/NOfSJi3AHJibAzmdXpFEoqieNurQ5mx48dx+HGzeElWFsMTE1g3uIspHBkwmXApStSaegES4+LISUmRIuZsKIryD4qi1AJFwHeAe4H3+DiWzwOfF0K0Af8MfApACHGnEOJaNY4u4N+A14EOYBx3V1NUEpGLIC0WLGr5bzYvz1seSUhKgqSkBYe2trZSVVWFJkrTyAA1qrm312AgxmIhs6XFuwwS3NN7lQgtKY2NjTE5ORnymbhxPxh651OSmYkCDERhNsZTQimJwhkx8ylVF0FG6hqas7GmV39FUaYURXlFUZRHFEWZ8GUgiqK0KopyvqIo1Yqi7FG9NyiK8llFUR6bd9xvFEWpUD8+oyiK3ZdxhBOZmZlkZ2dHlohRO5MAuq67jt53vQuABHUBpAeLxUJvb2/I38D8jUfI9hmNTBcVAZA8MOB93G63M9XeHpTY/E04lBMnu7uZ8/MKiGg290Z7Z5KH0qwsZm02xqemgh1KwInet7ARgmcRZKTgNJuxLTPvIEE193ro6OhAUZSQvoEFgvLycmJjYxmYmMCRmIglM3OBiAEwDQ5CBA5DC4fOpJE33/T7NUqiuMU2mgfdzackis29UsSEOTU1NRgMBgwR8uT1rBvIOXqUzY8+Sow6On+ldQOhfAMLBDExMVSUlXlfzKeKitCZTMTM68gzGo0ow8PBCtFvhHomxjY5ibmlxe/Xieb9OX0GAxmJiaQmJAQ7lKASzduspYgJczwv4J5W03DHs/gxrauLrOZmnHFxxMfHo120bsBzA6utrV18iqijZssW+g0GHE7n2yUlz9A73CWl6QgsKbW1tRETE0N5eXmwQ1mWoddfR3G5/H6d1IQEMhITo7acFI07kxZTGsWzYqSICXMirUPJNq8zyZKZiRITQ0JiIqhLDj2E+rvwQFJdU4PD6WRwYgLz5s30vPOdzC7KXJl6eyNuIWRraysVFRXExMQEO5QluOx2jMePB+x6nkWQ0YR5dhbz3FzUl5LAPS8oTquNymycFDFhTkR1KDmdWCcmEHY78UYjc6oPJiE5GRali1taWsjLyyNt3i6laMUj5PqNRmzp6Yzt3Ytt0d/FZDKBuoMqErDb7XR1dYWsiB07dgzH3FzArlealcXk3BwTESZUz4b0w7yNVqOhODNTZmIk4UdFRQVarTYyRIy6+DFBr0cAs+pwO90iU69nPkio3sACjefvMDTPvBszOwvzShlWqzWiSkrd3d04HI7QfA4oCmMBMPTOpyQKywmyM2kh0TovSIqYMCcuLo7y8vKIEDHK1BQWi4XEeZN6YWln0tjYGGazOTRvYEHAk40bmJgAIO/QIXbdeitJi8y8ps5OiJA9W6FcTjS1tXmnTgeK0uxsQIqYaKY0Kysq5wVJERMB1NTU0NHRgTPMNxZbDQZcLhfThYX0XXkl04WFIASJKyx+lKZeNzk5OaSnp3tf1OfUG9riVmuj0QjqXqpwJ5S700beeCPg14zGWTF9BgNaISjKyAh2KCFBND4HQIqYiKCmpgabzUZPT0+wQ9kQnvZqS3Y2I/v3Y09NJUGnQ7PI3xHK78KDgRCCmpoautS/33RhIQpLRYzVamW6szMIEfqeUF3+OTc25pdt1eeiMD0drUYTVTewXoOB/PR0YrXaYIcSEkTrrBgpYiKASGmz9qTgxbyM0ko7kyD0bmDBpKamhjGTiWmrFVd8PHO5uaQsEjEAE21tEAE189bWVtLS0shZtBQ02Ay99lpQFm7GaLUUZWREzQ3M6XIxYDJJU+88ZCZGErZERJu1omA1GhEOB7t/8hNKn3oKAF1aGsTFLTi0paWF2NhYysrKghBoaOIpq4yoY8eni4qIm5oizmxecJxRr4+ILqWWlhZqa2sR81ZRBBvH7CwTp04F7folWVkMmEw4wrysvBpGzGbsTqf0w8wjRacjMykp6gbeSRETAUREm7XFgmVmBp3RiMbpxKnTAaBb5p12a2srlZWVITkfJFh4hOywKmKmiopQhFiw0RrcO6dmwjxjZzKZGBsbCzlP1PCbb+K0B2+VW1lWFk6Xi0HV4B3J9MrFj8tSmpVFn8EQVYsgpYiJADZt2kRKSkp4ixi1vVqnlpQ85tTF6wZsNhvd3d0hdwMLNt5ZMeoNzLRlC0e/+U3MlZVLjjW2tsIy+6nChVAsJyoOB/rDh4Magycr0RPgzqhg4BExspy0kJKsLKYsFkxRNC9IipgIwGPsDGcR4zCZsNvtJKgvwJasLIQQS9qrOzs7cTqdIXUDCwUqKysRQtBjMgHgio3FtagM58Gg14f1LqUWdR9RKAnZ0aNHsc/bVxUMyqLI2NkvB90tSzT6YqSIiRBqamoYGhpiKkxXsc+p4iVhXptwQkICQpp6V0VCQgKlpaV0qTN2ABLGxsh//XU0i0ocNpuNqQAsJvQXIddiryiMHTwY7Cii6gbWazCQGBdHVnJysEMJKUqjSMh6kCImQgj3DiVPZ5JOr8eamoorLs7dmSR3Jq2a2tpa2vv7QTW7pnd0UPziiyQNDS051tjeHraD71paWtBqtVRUVAQ7FAAMp05hCYGbRlpiImkJCVEjYkrUbK3kbUqiSMh6kCImQogUEdP6D/9A24c+BIAuIwMWmXc9pQQpYpZSW1uLxWplQhUn04WFwMKN1h6MBgOuZVqww4GWlhY2b95M3ArlskAz8tprwQ7BS2lWVsTfwGZtNsanprybmyVvU5CeToxGIzMxkvAjrDuUHA6saiuwIzHx7cWPiyb1gvv3y8nJIVO+gC3BU17x7FCayc9HEYKkZUSMw+HAfOZMQOPzBXa7nc7OzpApJU12dTGzTKYrWJRmZWGO8EWQHj+MbK9eSoxGQ1FGRsQL2flIERMhVFVVAWEqYqansVgsxJnNJPf3ez0ci9cNAHLx41nw3Nj7VIOpKy6O2bw89+TeZVoujR0dEMBNy76gu7sbu90eMs+BoVdeCXYIC4iGHUqe7qsy9XeVLKQkK4vBiYmomBcEUsREDElJSRQXF4eliFFUEZN55gxbf/c7koaG0Gq1S2bE6PV6jEZjyNzAQg2PiOlWO5TAXVKKm5lZMvQO3PNWnP39AYvPF4RSZ9LM8DCTXV3BDmMB0WDule3VZ6c0iuYFgRQxEUVNTQ1tbW1hN+jIajTicrkWzIiR6wbWTm5uLunp6XTOW/JorqxEX1+PcLmWHO9yuTAGccLsegilzqShV14JyoqBsxENIqZHr0cAxbKkvCzRZu6VIiaCqKmpYWZmhsFlPBChjLe9Wq/HnpCAIykJXWIiLGqflCLm7AghqK2tpbWnh/j4eAAmqqrouu46rCu84Ju6u2FmJpBhbohQMXZbTSYmTp8OagzLEQ2LID2LH3WxscEOJSSJBiE7HyliIgjPu9OWMJsBYjUaQVFI0OuxqP8AdZmZoFn49AylUkKoUltby5hez2qbpyfMZmxhtP28paWFrKwssoPshxh86SWUZbJbwSbSF0E6XS76DAbphzkL0TYrRoqYCCKcRUzM7CwxFot33cDiSb3gzsTExMRQXl4e6BDDBs9zYHje9Ni8t96i/n/+B7HcXh9FwXTiRKDC2zCtra1BF7E2sxljU1NQYzgbpRG8CHJ4YgKb0+mdTixZSnpiIqlRMi8IpIiJKLZs2QLAmXBqnbXbsU5PEzszgyU9nTnVzLtSZ1JFRQWxMo28Ip4bfO+8FluN3U6CwUDSCturDX19EAabb/V6PQaDIeilpMGXXsIVwgIhko2dPdLUuyo8iyCjASliIoiCggJSUlLCS8TMzGC1WJjLzeXEl77E6L59aLVa4heliz3zQYJ9Awt1PCKmZ1GHEuButV6G6elpZsLgORMK5UT75CSGxsagXX81RPIiSE92QZaTzk5JZiam2Vkmw2yEwnqQIiaC8Bg7w0nEeNqr57PcuoHu7m4cDocUMedg8+bNxMTE0Dky4h3JPlNQgCLEspN7PehPnACHI1BhrotQ6EwaePllXCH+d4rkRZByRszqiCZzrxQxEcaWLVsYGRlhIkxSyVajEUVRyDt0iNyjRwHcnUlJSQuOC4V34eFAbGwsFRUVtPT0kJiYCIArPp65nBy3iFmhJdgwNoYrxLvagt2ZZJ+awnj8eFCuvRYi+QbWo9eTlpBAuvrcliyPR+RFYjZuMVLERBgeX0y4mHs97dWb3nyTHPUGsVxnkmyvXj21tbV0dnejVdusAaaLioibmiJOXUmwGIfDgTHEyyQtLS3ExsYGzdg9+MorOJczR4cYaYmJpCcmRqSI6TUYpB9mFXhFTAQ+BxYjRUyE4clUhEtJyWo0orHZiJ+c9LZXr9SZBFLErIba2lqcTiej8264o3v2cPrjH8e+aPbOfPRtbSE9M6a1tZXKysqgGLsdMzMY1ExhOFCSmRlxImZidhbz3BzlspR0TgozMojRaGQmRhJ+hFsmxmo0kjBvUi9A4goiJjMzM+jzQcIB7w6leaa+udxcpktKULTaFX9ucnKSuRDdgm61Wunq6gqaiB18+eWwyMJ4iMRFkN3q60SpfA04JzEaDSVZWVLESMKPzZs3ExsbGx6ZGLW9ev66geU6k8AtyqQfZnV426zndSgBaKxWks6xcVl//HjIjdIH6OzsxOl0BuU5YJ+aQn/kSMCvuxEicRFkr0fEyHLSqijLzmZoYgJLGInv9SBFTIQRGxtLZWVleIgYtb3ak4mxeHYmLepMGh8fR6/Xs3Xr1mBEGXZ4shXtQ0MLSi+Vf/kLW373O8RZumsMg4MoY2N+j3GtBLMzqf/vfw+rLAxEprnX214tRcyqKMvKwqUo9IXBDKiNIEVMBLJlyxa6urqwWlc7fD44KNPTWK1WZjZtQl9XhyUjY9nOpNPqjhopYlZHRkYGeXl5tHR3u0WhynRhIRqnk8QVht4B2Gy2kJzgG6zOJIteH9LTeVeiLAJFTLdeT5xWS356erBDCQuipUNJipgIZMuWLbhcLtrb24MdylmxmUy4XC5MW7fS9b73ocTEoMvIgEW+DU9WyeP3kZyb2tpaWtra0M3LanmH3p2jldrQ3Aw2m1/jWyvBEjH9zz0X0tN5V6IgAhdB9hoMlGRlodXI29ZqKJciRhKuhEuH0tz4+JLv6dS1A/ORmZi1U1tby+TkJJNxcd7vTRcWonBuETNhNGILMQHc2tpKXl4eGRkZAbvmzOAgphD/N7QSMVotxRkZEXMDs9jtDE9MSD/MGijJykIgRYzfEUJohBC/EkJ0CiE6hBBfOsuxPUKIViFEo/pxUyBjDRfCpUPJajIRbzRS95vfkHXyJLB8Z9Lp06dJTk6muLg40CGGLd4OpXndKd6hdyusH/CgKApjhw5BiGxpVhSFlpaWgGdhBp57LiRNzqulPCeHQZMJa4hPGF4NfUYjCnJS71rQxcZSkJ7u7eqKVIIuYoCPAluBauA84JtCiLqzHH+ToigN6seDAYkwzPC82Id6JsZqMJCg15M0OopwONBqtStmYrZs2eIdoy85N8vtUAL30DtXbCyac/ilxvv7Q2aC7+joKGazOaCm3qmuLsydnQG7nj8oz852GzsjoKQkO5PWR1l2Nn0GA44QeUPiD0JBxNwE/EZRFKeiKEbgQeDDQY4prPFkLUJaxHjaq9UXWEtWFjqdbkln0sTEBMPDw9IPs0Y8N/z2gQHi5pWUet7zHk7+3/+La9403+Ww2+2MHzrk1xhXSzA6k/qffTZg1/IX5eobgq5lyrbhhlz8uD7KsrNxuFwMLXozE0mEgogpAXrnfd2jfm8lfi+EOCmEuEsIsfRtuwRwl5RaW1txhaoCVzuT5ouYhIQEWDRR1iPEpB9mbZSUlKDT6ZZ0KLGGbNZ4WxuEwA4ujycqUCLGePIk0yGShdoIHmNnJJQTPL9DSWZmkCMJLyLpObASfhcxQoiDQgj9Ch9rNTlcoijKdmAXoAd+t8I1bxZCDHg+pqenN/prhB1btmxhbm6Ovr6+YIeyPLOzWCwWdAYDDp0OR2Kie2fSos4kaepdHxqNhpqaGlpaW90dX/PIOXaMgldeOec5ZmdnMYXAqP3m5mYA6urOVmX2DYrDQf8zz/j9OoGgNCsLjRARcQPrNRjIT0sjYV5WUXJuyqSI2TiKopyvKEr2Ch/9QB9QOu9HytTvLXeuPvW/duAXwMUrHHeroihFno/ks+yLiVRCvUPJajDgcrlIMBrdO5OEkJ1JPqa2tpa+vj6ci0p0mWfOkP/GG4hVtA6PNTaCxeKnCFdHc3MzKSkpATF2D738Mlaz2e/XCQRxMTEUZWTQE+blJI+vR/ph1k40tFmHQjnpYeD/CCG0QohM3B6ZJYZdIUSSECJ93rc+DBwPTIjhh8dDEqoiZk6vB0Wh89prGbj0UgASlhExZ86cIT4+nrKysgBHGP54hOzgvB1K4G611jocJKxiMq95YoIZNRMSLJqbm9m6davfjd22iQlGXn/dr9cINOU5OfQbjdjCuENpxGzG6nDInUnrIFmnIzs5WYoYP3Mv0AK0A4eBWxVFOQkghLhWCHGnelwe8KIQ4oQQ4iRwKfDxYAQcDnhuYKHaZm01GkEIJisqmNy8GY1Gs2Impra2Fu1ZFhdKlscjZLsXjR1f7dA7D6NBbLceHx9nfHw8IJm4vqeeCrv1AueiPDsbp6LQH8aj5z03YLluYH2UZWfTo9ejhPG4gLMRdBGjdiX9o6IomxVFqVAU5ZfzHntMUZTPqp93KYqyU1GU7Yqi1CuKcp2iKD1BCzzEyc3NJSMjI2QzMVajEa3Fgka9aSQkJCBSUxccMz09TW9vrywlrROPh+RMf/+CDqWZNYoY48gItq4u3we4CjzlRH/7Yaa6ujCG6L+VjbBZfWMQzp4I2Zm0Mcqzs5mz2xmdnAx2KH4h6CJG4h+EEGzZsiU0RYzNhnV6mk0HD7Lnxz9Gp9e726sXeZc8rbWyvXp9VFdXExMTQ3N7+4IOJUdiIpbMzFWLGJfLxdjBg0EZ/BYQU6/LRe+TT4b1YLuV8HgiwrnNukfOiNkQkb5DSYqYCKa2thaDwYA+1J68MzPu9mp1Cqc1Lc3dQRMTs+AwaerdGHFxcVRXV3OquZn4Ra2pI+edx+ju3au+cY91deHo7T33gT4mECJm9NAhZkdH/Xb+YFISAR1KPXo9KTodmYsWw0pWR6R3KEkRE8GErLl3ZgaLxUKCwYAtLQ0lNnZZU68UMRtn27ZtdHd341pUqhvbs4fRfftWPTfG4XAw/PLLAffGNDc3k5qaSlFRkV/O75ieZvD55/1y7lDAO3o+TDMxiqLQpddTnp0tJ3avk0jvUJIiJoIJVRFjM5lwOZ3Ee9qrgYQVdibFxMRQWVkZ6BAjhm3btgHQu9KspDWIkrHu7oB7Y/zdmdT917/iCHILub8pz8mhz2jEEYbbuA3T00zOzVGxzOuDZHVkJiWRotPJTIwk/AjVDqU5vZ64yUm0DgdzWVkrdiadOXOGqqoqYmNjgxBlZOApw3QtfgFTFLb+9rfUPPDAqs/ldDoDmo0ZGxtDr9f7rZRkOnUKU4j92/AH5dnZOF0u+sKwQ6lDHQNQsczrg2R1CCEoVzuUIhEpYiKYsrIydDqdtywTKlgMBuLVXR6enUmLO5MsFgudnZ2ylLRBPJmYM729CzqUEAKXVuveaL0GUTLe14e1rc3XYS6LP8uJztlZev/2N5+fNxQJ59HzHkOyzMRsjLLsbMxzc5hmZoIdis+RIiaC0Wq1bNmyhVOnTgU7lAXYTCamyso4+v/+H/r6+mV3JrW1teFyuaSI2SAVFRXEx8e7O5QSExc8Nl1UhNZmI2ENNzeXy8XQyy9DAEoT/jT19j7xBLYIfEFfDm+bdRj6YjrVmDfLTMyGiOQOJSliIpz6+noGBwcxhcoWU3V7NYBTp8MVH48uPR0WlYykqdc3eIXsMh1Ka50X40E/OMhcAHxW/hIxE2fOoD950qfnDGXKsrMRhG8mJis5mfRFAlyyNiK5Q0mKmAinvr4egJOh8qKtLn5Ma28nub8fAN0yQ6w8ZmQ5I2bj1NXVMTAwgG1xJkYVMUlrFDGKojD0yivg51H2ns6kQjVOX+CyWt1lpAicCbMSuthY8sOwQ8mlKHSNj0s/jA8I55LiuZAiJsIJORGjzogpe/ppSp9+Gli5M0mj0VBdXR3oCCOOlTqU7CkpWFNT15yJATCMjDBz3H+ryxRFobm5mbq6Op92JvU8+ijWCJ1cejbKs7PpNRhwBGl9xHoYMpmw2O3SD+MDNqWloYuNleUkSfgRaiLGPjGBy2IhzmzGkpWFEGLZTMzp06fZvHnzgkmzkvXhKcd0LvMC1vahD3HmE59Y+0kVhZ4XXkCZmNhgdMszNjaGwWDwaSlJf+gQ+hDzhwWKzTk5OFwuBkOlrLwKpB/Gd2iEoDQrS2ZiJOFHfn4+mZmZISNiLAYDOqMRAVgyM9HpdGgWdSbZ7Xba2tqkH8ZHrNihBMzl5uLU6dZ13pnpaUaeftovLde+3pk0OzhI71NP+eRc4Ug4rh/wdiZJEeMTKnNzGZ+awjw7G+xQfIoUMRGOEIL6+npOnToVEltMLUYjOnWhm6e9mpSUBcd0dnbicDikH8ZHlJaWkpiYSHNbGwmLR7e7XCQPDKzZF+Nh8MwZ5lQDri/xmHp9IWRdFgudDz2E088enlCmPAw7lDrVGTHlUsT4hEq1LOeZvRMpSBETBdTX1zM5OUlfX1+wQ8FmMpEwX8SkpkJ8/IJjZGeSb9FoNNTV1dHc3Ez8oiV6wuWi9ve/p/DVV9d1bpfLRe+zz4KP25V91pmkKPT85S/MheGgN18Sjt0pnePjFKSnk7goeyhZHx4R0y5FjCTcCBlfjNOJbXISZ1wcc1lZ7nLSMptpPXH6dXNxlFFXV8fIyAiziwSjEhPDbH6+29y7zkzd5MQEo88954swvTQ3N5OWlkZBQcGGzjN28CD6EBv2GAwS4+LIT0sLGxFjdzrpNRikqdeHVOXlAdARYctOpYiJAkJGxKjt1aP79nHy//5fnDrdsp1JTU1NaLVaKWJ8iLdDaWpqyWPThYXEzM15pyivh4HGRqwdHev++fn4qjNpqq2Nvmef9UlMkUBZdja9ej3OMOhQ6jMYcLpc0g/jQzKSkshKTpblJEn44bmBBV3EqNurvQhB4goipqamxu2XkfgEjyBc7gXMMy8meWBg3ed3Op30PvEELCOS1sro6ChGo3FDIna2r4/2Bx/EFYZLD/1FeU4ONqeTQT91lPkS2ZnkHypzc+kaHw8LIbtapIiJAlJSUigrKwu6iHFNT6OYzZQ//jhpnZ3Ex8WhSUtbcMzk5CRdXV3s2LEjSFFGJh4h27JMh9L0Oif3LmZCr6f/kUfAZtvQeTbamWQdG6PtvvtwbDCOSGOzp0MpDN6Je2KU5STfUpmbi9XhYCCMWu3PhRQxUUJ9fT0tLS3YgvjCbjEYSBgfJ6epiYTxcfcun0U7kzxCS4oY31JYWEhqaiqnWlvRLZrca0tLY7qwcN2t1vMZ7uxk7IknNtR2vRFTr31igtbf/Q5bhLWR+oJKjyciDERMx/g4Wo2G0mU8c5L14+1QiiBfjBQxUUJ9fT0Oh4PW1tagxeCZEQNqZ1JiIiwaZtfU1ARIEeNrhBBs27aN5uZm4hbtUEIITn/qUwwcOOCTa/UeP87Eyy+v++fXK2Jcs7O0/e53WKJwIu9q2JyTg1YI2sLgBtY1NkZpVhaxWm2wQ4koPEI2kjqUpIiJEkLB3Gs1md6eEePpTFpk3JQixn/U1dVhMBiYWrRs09coikLnyy8zq/6/XCvNzc2kp6ezadOmVf+M3WCg5c47mQmT7ptgEB8TQ1l2Nm0jI8EO5azM2WwMTkxIP4wfKMvKQqvRhEU2brVIERMlBF3EuFzYJibQGY24NBqs6enLdiY1NjaSk5OzphuYZHV4fDHdyxg7Y6anKX/8cbIbG31yLafTSfvjj2NbY8eSoiicPHmSbdu2rbozaaari9O/+Q3TYTTILVhU5eUxbDYzNd9gH2J42sBlZ5LviYuJoSwrS5aTJOFHdXU1sbGxwRMxc3NYLRZ0RiO29HQUrZaERS9STqeTkydPsmPHDp8u/ZO48e5QWuZm74qLI/vECTLa2nx2PavVypkHHmD6zTdX7ZHp7u7GbDazc+fOVR1vOnKE1nvvxerjYXuRSrX65qA9hG9indLU61cqc3MZNpuZDmEhuxakiIkSYmNj2bJlS/BEjDojZryhgdHdu4mLiyMmI2PBIR0dHczNzclSkp/wZGJa+/rQLvIauOLimM3Lc68f8OF6CqvVSstTTzH++ONgtZ7z+OPqZuxzihink5FnnqHjscdwRPE6gbVSrXoiWkO4pNQpdyb5laowMnivBiliooj6+nr6+vowm80Bv7YyPY3VamVk/35G9+1zz4BZ1Jkk/TD+JTc3l6ysLE62tLg7wxYxXVhI3MwMcT6eI+Jyueg+coSee+/FdY7x/x4Rs2vXruUPUBRmW1tp/Z//oe+110JiH1g44bmBhXomJj4mhoJFb3IkviGcutRWgxQxUYTHF3Pq1KmAX9tmMi244SQkJsKiZYRSxPgXIQQNDQ2cOHECbXr6kseni4qAjc+LWYmx3l5a7rqLyVdfhRU6iI4fP05cXNyye7Nsg4N03XMPp+67D3MI34RDmfTERHJTUkK6Q6lrfJzNOTloZEnZL0TaIkgpYqKIYJp75wwGco4epf7XvyZhdBRdZiZoFj79mpqaiIuLo7a2NuDxRQu7d+9mdnaWwWXq4b4aenc2picnaXn2WU7dfjsjf/4zzkXlq2PHjrFt2zZiY2NBUVBMJqaOH6f/wQc5+ZvfoO/q8mm5Kxqp2bSJ7vFx7CE4zdg8O4t+elp2JvmR7ORk0hISIkbExAQ7AEngCKaIsRqNJI6Pk6DX49Tp0C3zItXU1MTWrVuXTJSV+A5PmaZlbIw9i97pWjMy6LviCqZKS/0ex+zsLH3HjzN44gQZubnEJCVhsFoZGRnhip07GX70UaZ6e5memJCeFx9TlZfHq+3tdI+Pe42+oUKX6oeplKZevyGEoDI3lzPDw7gUJewzXjITE0UUFRWRlpYWeBGjKNgmJog3GnHGxGBLTSVRrct6MBqNDAwMyFKSn/GImDPLZVuEYOT885nZ4OboteB0OtEPDzPS0cHLL74IQL6i0H/0KBN6vRQwfsAjXEKxpOSJSXYm+ZfKvDxmbTaGw2CP1rmQIiaKEEJQX1/PyZMnA2uItFqxzs6iMxqxZmYSGxdH7CLTnvTDBIaKigpSU1M50da2Yhu7sNvRrKKTyNd4hrDVhlh2INLwdCiFoog5MzwMQG1+fpAjiWwiyRcjRUyUUV9fz8TEBIN+9D0sYWYG28wM8Waze1Kv7EwKGhqNhp07d3L85Eni4+OXPJ40OMjun/6UXLVLKJC0jIwgkKUEf5Ofnk5SfDztIdhmfWZ4mML0dNIWrSOR+JYq9d9YKHeprRYpYqKM7du3A2+LhoAwM4MyPIxQFCyZmSQkJEgRE0R2797N1NQUw8ssA53Lzka4XH41965E28gIpVlZJEhPlF/RCEFVbi5to6Mh1aI+Y7XSq9ezJYDlzGilXO3+kpkYSdixe/duAA4fPhywa9rNZuaSkznz0Y+i37EDXUYGxCz0lDc1NVFYWEiW3Frrdzy+mLZl6uGu+HjmcnNJHhgIaEzTFguDExMhZzSNVKo3bWLaamU4CDOjVqJtZAQFWU4MBLrYWEoyM2UmRhJ+bN++ndjY2ICKGIvRiCsujqmyMvf26uzsBY/b7Xaam5tlFiZAeIRsywrlhOnCQuKmpogL4A3O48+okTewgOAZehdKyyA9z8ct0g8TECrz8hg0mZhdJiMbTkgRE2XEx8fT0NDA4cOHA5ZKthoMxJnNXrPo4sWPra2t2Gw2KWICRFVVFUlJSZzq6Vn2cX8PvVsOzxh8KWICQyiae88MDQFQI0VMQKjMzUXh7bb2cEWKmChk7969jI+P09vbG5DrWU0mNv/1rzT813+h1WiIX1QyalQ3J0sRExi0Wi07d+6kqaWF5WSsR8To1G3CgcAjYmQ5KTCU5+Sg1WhCS8QMD1OcmUmKThfsUKICj4E+lLJx60GKmChk7969QIB8MTYbtpkZdCYTlqws97oBaeoNOrt27cI8Ocn4MtufLZmZHPva1xi65JKAxdM2MsKm1FTZlRIg4mNiKM/ODpkOpWmLhT6jUZaSAoinjd3T1h6uBF3ECCGuFkIcFUJYhRC/OMexVUKIN4QQbUKIw0KIugCFGVGcd955QIBEzOwstslJ4qamztpenZCQQFVVlf/jkQBv+2I6TKalDwqBY9H/I39isdvp0etlFibAVOflMTI5iXluLtiheP0wcj5M4MhJSSEvNZVTQehE9CVBFzFAO/Bp4KerOPYO4H8VRakGfgzc48e4IpaamhqSk5MDI2JmZkCtdVsyM9GlpMC8+SSKotDU1MS2bdvQarX+j0cCvN2h1GowLPt47NQUuUePolvhcV/SOTaGU1GkHybAeERjKHSotKjZAJmJCSx1hYV0j48zHYThlr4i6CJGUZQ2RVGagLPOFxdC5AJ7gD+o33oEKBZCVPo5xIhDq9Wye/dujhw5gtPPS+BcU1No1XdZlszMJTuTent7GRsbY8+ePX6NQ7KQ2tpaEhISOL3Cu7AEvZ6yp54iva3N77FIU29w8HQohYKIOTM8jEB6ogLNtsJCFKBFfaMZjgRdxKyBYmBYURQHgOJurekDShYfKIS4WQgx4PmYnp4OcKihz969e5menqa1tdWv17EYDMSqf39LVhYJi0TMwYMHATj//PP9GodkITExMezYsYNTXV3LdqlNFxSgCBGQDiWPuVTewAJLKLVZtwwPU5qVRfIyU6Ql/qNOHSwYziUlv4sYIcRBIYR+hY9if1xTUZRbFUUp8nwkB7C+Hy4EyhdjNRoZ3bePI//0T8xt2rRkRowUMcFj9+7dGCcmGFlmHowrPp5Zz9A7P7fit42MkJ6YSG5Kil+vI1lIWkICm1JTg96hNDk3x4DJJP0wQaA2Px+tRsMpmYlZGUVRzlcUJXuFj/41nKofyBdCxAAI9/a6EtzZGMkaCVSHktVoBMAVF0dCUhJi0Y3q4MGD5OTkUFFR4dc4JEvx+GI6Vmilni4sJG562q9D7xwuFx1jY1Tn5a24kFLiP2oLCugaH2cmiJ6IFrn0MWjoYmOpzM2leXAwpFZQrIWwKScpijIGHAM+qn7r/cCAoigdwYsqfCktLSU7O5tDhw757yJ2O9apKXKOHiVpcHDJzqTZ2VkaGxs5//zz5Q0sCHg6lNpWGHYViKF3vXo9VodD3sCCxI6iIlyKEtRygpzUG1y2FRZinJkJqRUUayHoIkYIcYUQYgC4GfiM6mO5Vn3sWiHEnfMO/zzweSFEG/DPwKcCH3FkIITgvPPOo6mpCZu/xk7PzGAzGCh/6ilyjx1Dl5gIiYneh48cOYLD4ZClpCCxdetW4uPjaV1hCdx0cTGm6mocfpzd4h1yp/ozJIFle7G7on+ify1Jcd9yZngYjRDSExUkthUWAtAcpr6YoIsYRVGeV70rqYqipKifP6Y+9piiKJ+dd2yrWp6qVhRlj6IoJ4MXefizd+9ebDYbJ06c8M8F5rdXZ2URn5kJ8zIu0g8TXGJjY9m+fTvN/f3LppKtGRm0f/CDTG7e7LcYTqqLJuvk5uKgULNpE/ExMZwI8MLP+ZwZGqIsO5tEub08KNR5REyY+mKCLmIkwcPji/FXSUmZnkYzr716uc4krVYr26uDyK5du9BPTDA+NRWU6zf295OTkkJ+enpQrh/txGq11BUUcGpwEIfLFfDrT8zOMmw2y83VQcSz6iFcO5SkiIli/G3utRgM3mFpi9urFUXh4MGD7Nixg6SkJL9cX3JuPL6YlUaPp3Z2UnfnnST7odxgnp2la3ycnSUl0hMVRLYXFzNrs9ERhC4l75A7mYkLGhohqCsooHV4GLuf54b5Ayliopjc3FxKS0v9K2JMJhRAyctDk5bmfayrq4uxsTEuuOACv1xbsjo8pbyVygmKVkvSyIhfREyjes6GkiWjniQBxOuLCUJJSU7qDQ3qCguxOZ1BEbIbRYqYKGfv3r2cPn2aKT+UE6xGI9a0NMybN6NLS1vQmST9MKHB1q1bycrK4njf8pMKZtShdyl+uME1qtfcKUVMUKlXPRFNQTD3nhkeRiuEd/CeJDh4fDHhWFKSIibK2bt3L4qicOzYMd+e2G7HOj3NwBVX0PaRj5CwaPGjFDGhgUaj4dJLL+XM0BDTFsuSx11xcczm5bnbrH08R6Kxv5/UhATKFg1AlASW1IQEKnJyAt6hpCgKzUNDlOfkoIuNDei1JQvZFsaTe6WIiXL8Nrl3ZgbrvJtifHo6zFvwePDgQfLy8igrK/PtdSVr5rLLLsOlKDStkG2ZLioidmaG+IkJn11z1majdXiYhuJiNNIPE3S2FxczNjW17PRmf9FvMjE+NSXLiSFAWmIiRRkZYdmhJEVMlLN7926EEH4RMaKzk82PPuoedDfP1DszM8OJEyfkkLsQ4bLLLgPgWG/vso9Pq6nmZB+WlE4ODOBUFHkDCxG2q4MNA1lSOtLdDcAe+UYmJNhWWEi/0Yh5djbYoawJKWKinJSUFLZu3crrr7/u07HTyvQ0sX19ZJ86Rczc3AIRc/jwYZxOpywlhQh1dXVkpqevKGLMmzfTetNNTFRV+eyaHj9MQ7Ff1qdJ1siOIJh7j/T0IIBdpaUBu6ZkZbaF6bwYKWIkXHHFFQwODtLS0uKzc1oMBuLV9mpnbi4x8+aAvPHGGwCyMylE0Gg0XHLBBbQMDzO9zA4dR1IS5qoqnDqdz67Z2N9PQmwsNXI+SEhQkJ5OVnJywDIxLkXhSE8P1Zs2kebHidCS1ROu5l4pYiRcddVVADz33HM+O6fFYEBnNOLSaNDk58O8xY8HDx4kJibGO6NEEnwOXHml2xezwk1MOJ0kDQ2hsds3fC2bw0Hz4CD1RUXEzPNJSYKHEILtRUV0jo0tK2R9TcfYGOa5OfaWl/v9WpLVUZWXR5xWG3brB6SIkXDppZcSExPDs88+67NzWo1GdEYjtvR0EpKTvZ1JiqLw5ptvsnPnTvdCSElIcNkVVwBwfIWSUu6RI9T99rc+mRfTMjyM1eGQfpgQY0dxsXsZZABKStIPE3rEarXU5OfTPDSEMwjTm9eLFDESUlJSuOCCC3jppZd8swzSbsc6OUm8yYQlMxNdSgrExwPQ0dGBXq+XfpgQY9u2baQnJa1s7vVstPbBDc475E76YUKKQPpijvT0oNVo5HMgxNhTWsqUxcLpMPLFSBEjAdwlpZmZGe/8lg0xM4NtdpaBAwfQb9+Obt4cEDkfJjTRaDTs3759RV/M7KZNuLRanwy9O97XR4xG463BS0KD6rw8dLGxfp8X43A6Od7Xx7bCQhLk0seQ4oLKSgDe6OgIciSrR4oYCQDveMc7AHxTUpqZweJ0MrJ/P8atWxd0Jj3//PMAXHjhhRu/jsSnXLx/P05FWfYmpmi1zBQUkDQ4CBtINTtdLk7097O1oEAOOAsxYrRatgZgGeSZ4WFmbTb2ylJSyFFXWEhqQgJvdHYGO5RVI0WMBHDPi8nIyPCJuVeZnsaiDrrTarXEZWYC4HQ6eeKJJ9ixYwfFMo0cclx+5ZXAyvNipoqLibFaSRgfX/c1OsfHmbZapR8mRNlRVMSc3e7XHTqHpR8mZNFqNOwrL6dleBjD9HSww1kVUsRIALfYuOKKKzhy5AgGtTV6vViNRoqefZbtt99OssvlNfUePHgQg8HAtdde64uQJT5m70UXkarTcWyFPUrTRUXYkpOJ28CLm3c+jBQxIckO9f/LSkLWFxzp6SE+JoZtqs9KElp4SkoHwyQbI0WMxMtVV12Foii88MILGzqPxWAgQa8nbmrKnYVR26sfe+wxACliQhRtSgp7Nm+mZWiImWV8MRNVVTR+9auYKyrWfY3Gvj4Eb0+IlYQWO0tK0MXG8kpbm1/Ob7HbOTkwQENJCbGyvT4k2V9RgSB8fDFSxEi8eObFbNQX42mvtmRkEJ+UBGor9WOPPUZBQQG7du3acKwSPyAE++rq3L6Y5Qy8Qrg/1omiKDT291OVl0eKDwfnSXyHLjaW8ysqaOzr80s54UR/PzanU/phQpjMpCS2FhTwVleXX71RvkKKGImX8vJyKisree6559a/gsBux2oyET8x4W6vzswEjYa2tjZaW1t573vfi0Yjn3ahykV79wIrlxOS+/spe+IJYtZxgzs1OIhheprzNm/eUIwS/3KgthYF/JKNOdLTA0g/TKhzQWUl01YrJwO4hmK9yLuJZAFXXXUVvb29tLe3r+8EMzM4h4cRiuIWMWp79eOPPw7Ae9/7Xl+FKvEDDbt3k6rTcVS92SwmQa8n9/jxdbVaP9vcDMCVW7duJESJn7mwspIYjYaXfLiGxMORnh5SdDqq5bqJkCacWq2liJEswNNqve4upZkZNMPDAFiysrwi5rHHHiMxMZHLL7/cJ3FK/ENSXh57yss5PTTE6OTkksen1jn0zuly8cKZMxRlZFArb2AhTbJOx3mbN3O4p4cptcvQF0xbLJwZHmZXaSlamY0NaWrz88lITJQiRhJ+HDhwAK1Wu25fjDI9jSE/n9Of+ARzW7eiSUnBYDDw2muv8Y53vEOuGghxkvLyeNe2bSjAM6dOLXnckp2NQ6cjZY0D0Zr6+9FPT3PV1q2IDfhqJIHhQE0NTpeL19abkV2GY319uBRF+mHCAI0QnF9RQcfY2LJvZkIJKWIkC0hLS2Pfvn28+OKL2Nex7M9mMuGIjWW6uJjY3FxITubJJ5/E5XLJrqQwICY9nUtra0lNSOCpkyeXeqOEYLqoiMThYYTDserz/v30aQCurKvzZbgSP3FxdTUaIXjRhyWl59XnwL4NdLdJAoe31TrEszFSxEiWcNVVVzE1NcVbb7215p+1GAzoxseJmZ0lXqeD5GQef/xxhBBcffXVfohW4lNiYkjOyuKqrVvpGh+nbZmhZ1NFRWhcLpLUsuG5cKilpLLsbCrmTW+WhC4ZSUk0lJTwZmcncz7YpzZlsfBiSwvbi4ooUYdfSkKb8zZvRiNEyE/vlSJGsoRrrrkGgD/84Q9r/lmrwUDN/fdT88c/oktOxqooPP3005x//vnk5ub6OlSJH4jLyODd9fUAPHXy5JLHzZWVDF58MXZ1iOG5ONrTg2l2VpaSwowDtbVYHQ6fDD175tQprA4H1+3c6YPIJIEgLSGBbYWFHO7uxraGrGugkSJGsoTdu3eze/du7r33XiYmJlb/gxYLNqOR+MlJb2fSyy+/zNTUlOxKCiN02dlsKyykKCODZ06dWjIrYnbTJgYvvRRrRsaqzuctJcmupLDi0poaAJ90KT3W2EhiXBxXbNmy4XNJAseFlZXM2mw0+Xkp6EaQIkayBCEEX/rSl5idneV3v/vd6n9wehrn4CCAW8RkZckpvWGILjsbIQTvrq/HODPj3XWzGOFwwDnmCdmdTl5qaaEqL4+yedvMJaFPXmoqdYWFvNbRsaF34i3Dw7SOjPCOujq5tTrMuKCqCoDn1PEIoYgUMZJluemmm8jMzOT222/HtdqpjVNTiKEhAGzZ2cRlZvLYY49RUVHBFvkOLGxIVMt+79q2DYCnTpxYckzeoUPs/ulP0RmNZz3XW11dTFosMgsTphyoqWHGauXwCnODVsNjjY0AspQUhlTl5rKtsJAnT55EPzUV7HCWRYoYybIkJCTw2c9+lvb2dv7+97+v6meUqSnEyIj78/x8Hn/jDfr7+7nhhhukFyKMSMjJQQhBUWYm24uKeKm1dckuJVtKChqnk+QVlkV68JSSrpIiJiy5tLYWWH9JyWK388ypU1Tm5rIlP9+XoUkCgBCCj19wAXankwcPHw52OMsiRYxkRb7whS8ghOC2225b1fEWtStJEQKloIB//dnPSEhI4Otf/7qfI5X4EpGYSLw6z+fd9fVYHY4lN7Hp4mKAs86LsTocvNzaypb8fApX6Z+RhBYlmZlU5ubycmvrurqUXmxpYdpq5dqGBvlGJky5uLqasuxsHjl6lGkfDj/0FVLESFakvLyca665hr/97W/0rCKdPDc+Tv+VV3LkW9/iud5eTpw6xZe+9CXy5Tuw8EII9/Zx4IqtW4nVapd0KdmTk7FkZJxVxLzZ2cmszSZLSWHO+3btwjw3x70HD675Zx87fpw4rZZ3qd1ukvBDIwQfO/98ZqxWHjl6NNjhLEGKGMlZ+cd//EcUReHXv/712Q+027GYzQA4NBpuffJJkpOT+ad/+qcARCnxNbqsLMDdZnlhZSVHenqWTO6cKi5GZzIRu8wySIfTyZ2vvIJWo5GlpDDn+l27KM/O5g8HDzKi/htfDX1GI8f6+ri0poY0Oak7rHnntm3kpqTwwKFDWEOs3VqKGMlZueqqq6iqquLOO+/EcrZU4tQUlokJ8t56i6bXX6d9aIivfe1rZMuOlLAkXhUx4C4pKcAfFr0Tn1JLSkmqmXs+f3zrLdpGR/n4+eeTl5bm11gl/iVGo+FrV12F1eHgv194YdU/97g09EYMsVotH9m/H+PMDE80NQU7nAVIESM5KxqNhi9+8YsYDAYefPDBlQ+cnsbV10fpc88x+dZbpCUnc/PNNwcuUIlP0c0TnxdVV7O9qIiHDh9esEvHtGULx7/yFSaqqxf8bJ/RyJ2vvEJpVhafuvjigMUs8R/7Kyq4oLKSZ5qbObmK5Z8Ts7M83tREQXo6u+WupIjgup07SU1I4L4338S52o7VACBFjOScfPKTnyQxMZGf/exnzMzMLHuMMjmJUMfQH7FY+H+f+xwZ0swZtiTNm64co9Fwy/XXk6LT8e+PP86YWlZy6nTYU1MX/JxLUfjR3/6G1eHgX66+mviYmIDGLfEfX73ySrQaDT9/7jlcZ5kPZHU4+OZDD2GameEzF1+MRhp6I4LEuDg+sGcPAyaTT3dqbRQpYiTnJD09nZtvvpmTJ0/yrne9i8lltppa9HpixscBGNHp+OqXvhToMCU+JC4zE61W6/06Pz2d71xzDROzs/zbX//qfScWNzFBzrFjaNQW7McbGznW18cNu3axs6QkKLFL/ENZdjY37tlD8+Agzy6z4RzcIvaWxx7jxMAA/7B/P9fs2BHgKCX+5IN79xIfE8M9r7+OZR0Lgv1B0EWMEOJqIcRRIYRVCPGLcxzbI4RoFUI0qh83BSjMqOeWW27h61//Oq+99hpXXXUVJpNpweNjvb30qTNBDlx+OSl5ecEIU+IrYmOJT0lZ8K0DtbW8f/dujvX2cvdrrwGQ2dJC+ZNPkjw4yPjUFP/197+Tk5LCP15+eTCilviZz1x8MakJCdz2wgvLtlz/70sv8ffTpzlQW8uXrrgiCBFK/El6YiIf2LuX9tFRPnHXXbSqc8GCSdBFDNAOfBr46SqPv0lRlAb14ywmDYkvEULws5/9jO985zscOnSIyy+/nPHxcaanp/nRD39Iwz/+I/FGI6MaDZ+4+mqQ3QhhT9wy24a/etVVVObmcterr3K4u5setWRoOH6cWx57jGmrlX9697tJ1ukCHa4kAKQlJPC5Sy5hfGqKT951F//9wgucHBjApSg81tjI3a+/Tl1BAd+/7jpZRopQvnjgAP94+eUMGI18+re/5d433giqR0Yo59h9EiiEEN8H0hVF+dpZjukBrlcUpXEt5y4qKlIGVmFGk6yOH/7wh3z3u9+loqICs9mMXq+nMCODP6ekUJKVhe573yP9+uuDHaZkg/T+9a+MHjmy5Ps9ej2fuOsuLHY7MYAZOAhciXsy7w9uuCHAkUoCicPp5L+ef55nm5sxqR65jKQkJufmyE1J4a5PfYqsVW44l4QvLcPD/Nujj9JjMLC7spI/P/88JX4oIQshBhVFKVrx8TAUMZOAAA4B/6woyvgyx90MeFtj0tLSCte0jVlyTn7+859z8803U1JSwne++EX22mzY1fTy9ne8A53sSgl7Rl9/nd6nn172sVfa2nj21CmykpP5/7W3UzY5yd033cT2sjK0mlBI8Er8jUtRaB4c5NW2Nl5rb8c0O8vtH/0om3Nygh2aJEBY7HZ+9fzz/OnIEa666iqeffZZn18j6CJGCHEQqFrh4Z2KovSrx32f/3979x4bV3nmcfz7jO0ZXxPHSUxuOCEX2gUiCi2wLYK22y2IdhUQsLDRstVStruoRVtRKq1EtahC/MGiskXtrtpCWC1s1d20arXQCtCyXNumXApJuHWBJIATJXZiBzvjGTuxPc/+McfJYBL7nInHx2fm95FGGZ/zjvM883pmnjnnvO87fRHT5e7dZtYA3AGsd/cvTBeDjsRUxs6dO1mxYgXpXbv4yXe/y33PPsvbvb2c//GP8+277+ZsXdSXaNm33+YPDz44bbvlzzzD8l//mte//GVyy5bNQmQiMpe8cOAAl95yC+vWneijvnzTFTEVH//o7p+cwd/VHfw7GlwE/NZM/W6Jbs2aNQA8t2ULv7j/fr5aKPCPwMNPPcWjF1zA888/r0ImwZpDfqM+tGpVccK7OXJUV0Rm10VnnlmRAiaMxBz3NbMWM2sv2bQR2BpTOFLijnvv5fxCgWuCnwuFAmNjY9x+++2xxiUnp27ePNKZzLTtsitX8tbGjeSWL5+FqEREjom9iDGzz5nZHorXsNxgZnvMbEOwb4OZbQqangI8ZWavmNmrwKeBL8UTtRxVKPDqrl2sA8aAd4LN4+PjbN2qGjPRUikatGSAiMxhsU+n6e5PAMc93+XuDwMPB/d3AVqEY67J5fjI0qWc3tfHu8DE9Ed1dXWcozVTEi/T0UFu//5p27W/+SbLfvtbdl5xBYePMzRbRKQSYj8SIwmXzfJ3F1/MWooT/kCxgKmvr+e2226LMzKZAZmQBYkVCrTu3Utbd3eFIxIROUZFjJwUz2ZZm0rRCOQWLOC0Zcu4/PLLdVFvlWgKeXHvULCitYoYEZlNsZ9OkmQbOXCA8YYG3rvkEtYvW8auW2+FmK5Sl5nXVLKa9VRGW1sZ6ehQESMis0pHYuSk5PfvZ6y5md7zz2f09NNBM3VWlebOTizk9PGHurpoHBig4TgLhIqIVIKKGCmfOyN9fUfnB0lnMtDSEnNQMpOsqYl0yHWwssGU4/N0NEZEZomKGClfPs9IPs/pmzez/gc/oDGdhubmuKOSmWQW+uLewTVrePvqqxkIJkEUEak0FTFSvmyW4eFhGvv68Lo60vPmQb0us6o2x1vN+njGWlp4/6MfZVwrmIvILFERI2XzwUFGslkyg4OMdHSE/sYuydK4cGH4xoUCzT09pA4frlxAIiIBFTFStpHeXtLvv4+5M9LRQaOKmKoUdpg1wKJXXuGsTZuYv2tXBSMSESlSESNlG+7pobG/H4CRRYt0JKZKNXd2hm6r+WJEZDapiJHyHDlCvr+fxoMHARjr7CSl4dVVKdPRQV1dXai2Ix0dHGltZd5771U4KhERTXYn5RocJJfLkT33XLIrV1K/apWGV1erhgbSbW0MDwxM39aMbFcXHW+8Qd3wsC7yFZGK0pEYKc/gIPl8nkImQ27ZMtJtbRpeXcXSCxaEbpvt6sKAtt27KxeQiAgqYqRMI729jI6O0rp7N/W5HOnmZshk4g5LKiQTcvkBKBYxo83N1A8PVzAiERGdTpIy5fftI3X4MGc88AB969fDhRfGHZJUUJSRZ8OLF7P15psh5HIFIiLl0pEYiW5sjPyBA0cv6tUcMdUvygglzFTAiMisUBEj0R06xNDQ0LHh1QsXqoipcs0R5ooBaOzvZ+Wjj9Kq62JEpIJUxEh0AwPkcrmjR2KOLF5Mur093pikournz6ehoSF0+9SRI5zy0ku079hRwahEpNapiJHIhnt6GB8fP3okhiVLNLy62qVSNMyfH7p5/pRTGMtkaNN8MSJSQSpiJLJ8Tw8AqUKBkfZ2GubN0/DqGhDplGEqxdCpp9Kydy+p0dHKBSUiNU2jkySa8XHyvb0A7LjqKnBnSVMTaFKzqhf1uqdDXV2079hBy549ZE87rUJRiUgt05EYiSabJTc0dOxnMzLt7RqNUgMirWYNZFeuBNASBCJSMSpiJJpguYHGvj6WbtlC5uDBSLO5SnJFWc0aILd0KXsvvJCBdesqFJGI1DqdTpJI8sFFvR3d3Zz65JPkFy8moyKmJkQdZk0qxZ7PfrYywYiIoCMxElF+716AY3PELFoU+TSDJFNdWxvpMpaWsPFx6kZGKhCRiNQ6FTESXqFwdGRSU38/hbo66Owk1doac2AyK8xoiDgfUObgQc79zndYumVLZWISkZqmIkbCGxoil80CxSMxIwsWkGlq0hwxNSTq9U+H29vxujpd3CsiFaEiRkLzgQHy+Tw2NkZmYKC43EAmozliakjkU4epFNmuruJ8MYcPVyYoEalZKmIktImZelOjo/StX8/g6tWk582Durq4Q5NZ0rhoUeTHHFq1CnOnTesoicgM0+gkCS0XXNQ73tTEOxs2ALBaI5NqSlM5RczEfDHvvsvg2rUzHZKI1DAdiZFw3Mnv2/ehzVq9urY0L14ceWLD4c5ORpuaaOrrq1BUIlKrdCRGwhkcJHfoEADLn36apgMH2HnllRpeXWNSzc2kGxs5Mjwc/kFmvHrjjYzp2ikRmWEqYiSUQl8f+XwegPnvvENmYIBUOh1pZWOpAmakFyyIVsQAYxrBJiIVoNNJEspQdzeFQgHcaezvZ7ijozgySR9ONSddzinEQoFF27fT8dprMx+QiNQsHYmRUIa6uwGoz+epHxk5NrxaRUzNKesUohkrnnyS0dZWDp511swHJSI1SUdiZHq5HEPBMgNHlxtYuJB0Sws0NMQZmcSgnBFKmJFduZKW3l7qg9OSIiInK/Yixsz+3sxeM7NXzewVM7tuiradZvaYmb0dPObi2Yy1Vnl/P9lgpt6mkjWT0hGnoJfqUFYRw7Gh1m3BUT0RkZMVexEDvA5c6O7rgS8C95jZmhO0vRN4zt3XAdcDPzEzHQqosNzu3YyPjwPFD6J3LruM3NKlkaegl+rQtGgRFnGYNUB21SqgOF+MiMhMiP2aGHd/ouT+bjPrAU4Fdh6n+TXA2qDti2a2F/g08L+zEWutypase3O4o4MDwYWdjZojpiZZYyPplhYODw1FetxIRwdH2tpUxIjIjIm9iCllZn8KLABePM6+hUCDu/eUbH4X6Jqd6GrUkSMM9Rx7ylNHjlBIpwHI6EhMzUovWBC5iMGMnvPOw4JRblEnzRMRmczcvbL/gdnvgHUn2H2Ou+8O2q0HHgE2uvtvjvN7FgJ73T1Tsu2nwGPu/m+T2n4D+EbJpiVAafEzk1qBiO/miVLt+UH156j8kq/ac1R+yVepHBeXfu5PVvEiJgwzOwN4FPgbd398inY5YM3E0RgzewG41d1jO51kZnvcfUVc/3+lVXt+UP05Kr/kq/YclV/yxZVj7Bf2mtkfUTwC87dTFTCBnwE3Bo87D1gOPFPZCEVERGQuir2IAb4HzAf+ycy2BbdLAczsE2b2SEnbfwA+ZWZvA/8OXOfuo7MesYiIiMQu9gt73f3zU+z7PfCFkp97gUtmI64I/jnuACqs2vOD6s9R+SVfteeo/JIvlhznxDUxIiIiIlHNhdNJIiIiIpGpiBEREZFEUhEzDTP7opm9ZGaHzeyeadquM7MtZvaWmb1oZmeG2RcnM0uZ2ffNbKeZ7TCzm07QbmHJhdfbgjzGzKwj2P+0mb1Tsv/m2c3kxMLmGLR918zeLMnj2pJ9Se/DRjP77yD+7Wb2uJmtLdk/p/ow7PNtZjcE66ntNLP7SpcimWpf3MLkZ2Z/YmYvmNkbZva6md1lZqlg3yozG5/0ujzRki2xCJnjZ8xseFIeTSX7k96H10/Krc/MfhHsm9N9aGbfC94T3cw+NkW7+F6D7q7bFDfgdOBs4A7gnmnaPgn8dXD/auDFMPtizu9LwBNAHdABvAecGeJx3wR+WfLz08AVcedzsjlSnAX6Y1H7Nwn5AY0UL5SfuBbuJuDpudqHYZ5v4DRgL8UJLQ14GPjadPvmwi1kfucAq0v67zclj1kFDMSdxwzk+Blg2wken/g+PM5jXgOuSkIfAhcDK6Z5X4z1NagjMdNw97fcfTswNlU7M+sEPgH8ONj0c+BUM1s71b4KhR3FtcB97j7u7geBzcDGEI+7Abi/opHNnHJzPKoa+tDdR9z9EQ/eXYDnKL6JzjkRnu+rgYfdvSfI64ccy32qfbEKm5+7b3X3XcH9EWAbc7TPJpuh10zi+3DSYy4AOil+mM957v6su++Zplmsr0EVMTPnVGCfu48BBB3WTXFtp6n2xa2L4jf3Ce8yTVxm9imKa1z9atKuO83sVTPbbGarZzTKkxM1xweDPO43s8XBtqrqw8DXgYcmbZsrfRj2+Z4q93Kfl9kQ+e/JzJZQ/FAofd21BKcxXjaz28ysrpJBRxQlxzVBDi+a2VdLtldVH1L88vcf/sH5zeZyH4YR62sw9nli4mYh13ZKqunyK/PX3gA8OPHiDfyVF1chN+BrFN9ozyjz90cywzle7O7dwXnbO4AHKJmrKA6V6EMzu5XiivCfK9kcWx/K1MxsHvBL4C4vzp8FsA9Y7u77rXht2mbgFuCumMIs18vACncfNLMVwCNm1ufuP407sJlkZi3AXwB/XLK5WvowNjV/JMbdP+nui05wi1LA7AaWmlk9QPBB0EWxMp9qX0WFyK8bWFnykFVTxWVmrcA1wAcW3Zx4rrzoX4DVVly0s+JmMkd37w7+HQXuAS4KdlVTH34TuBK4zN3zJf9PbH14HGGf76lyj/S8zLLQf09m1gY8Bjzk7kcnFHP3w+6+P7h/kOJr8qLJj49RqBzd/ZC7Dwb39wD/ybE8qqIPA38OvO7ub0xsSEAfhhHra7Dmi5iZEvwhvgxcF2y6Ctjj7jum2jf7kX7Iz4CvmFld8E3gWorfBk7kWmC7u//fxAYzqzezU0p+vgrodff+SgUdUagczazFzNpLNm0EtsLU/VvJwEMK3YdWXOF9I/B5dx8o2T6n+jDC8/1zYIOZLQk+RG4E/ivEvliFzS/40vAY8Ji73zFpX+fESA8zy1AsTLdWOvawIuS41I6NuGoD/oxjeSS+D0t86DrCud6HIcX7GvQ5cAX0XL5RPNy+BzgEZIP7G4J9G4BNJW0/AvwOeAv4PbA+zL6Y86sD/hXYBewEvl6y7wP5Bdu2ANdP2tYS5PQqsJ3iSJmz484tao7AaopvIK8EuTwErKqWPqQ4ysCDNtuC2/NztQ9P9HwDmyZeg8HPXwly2knxQ6IhzL64b2HyA74FjJb01zbgW8G+KymOdNkOvA58H8jEnVcZOd4UxD+Rx7cJRtBVQx+WtMsCbZMeP6f7EPgRxc+8MaAX2HGC/GJ7DWrZAREREUkknU4SERGRRFIRIyIiIomkIkZEREQSSUWMiIiIJJKKGBEREUkkFTEiIiKSSCpiREREJJFUxIiIiEgiqYgRkUQys01mdmdwv8vM/mBmSVt3RkROgmbsFZFEMrOlFKdrvxR4ELjF3f8n3qhEZDbVxx2AiEg53H2fmf2Q4npef6kCRqT26HSSiCSSmS2iuMDlIaA75nBEJAY6nSQiiWNm84HHgbuBDHCDu3863qhEZLbpSIyIJIqZNQO/Au51983Aj4F5ZnZFrIGJyKzTkRgRERFJJB2JERERkURSESMiIiKJpCJGREREEklFjIiIiCSSihgRERFJJBUxIiIikkgqYkRERCSRVMSIiIhIIv0/P+zBHdC6MCcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_pred, = model.predict(x_test, samples, [process_nn])\n",
    "plot(u_pred[..., 0], ylim=[-2, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "bfa8240a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration:  0 , loss:  203.95284\n",
      "Iteration:  2000 , loss:  14.75436\n",
      "Iteration:  4000 , loss:  6.6038055\n",
      "Iteration:  6000 , loss:  6.2390738\n",
      "Iteration:  8000 , loss:  6.2382174\n",
      "Iteration:  10000 , loss:  6.2382174\n",
      "Iteration:  12000 , loss:  6.2382174\n",
      "Iteration:  14000 , loss:  6.2382174\n",
      "Iteration:  16000 , loss:  6.238217\n",
      "Iteration:  18000 , loss:  6.238218\n"
     ]
    }
   ],
   "source": [
    "u_pred, = model.predict(\n",
    "    x_cal.reshape([-1, 1]), samples, [process_nn]\n",
    ")\n",
    "\n",
    "calibration_model = neuq.calibrations.CalibrationVar(\n",
    "    targets=tf.constant(u_cal, tf.float32),\n",
    "    predictions=tf.reduce_mean(u_pred, axis=0),\n",
    "    stds=tf.math.reduce_std(u_pred, axis=0),\n",
    "    optimizer=tf.train.AdamOptimizer(1e-3),\n",
    ")\n",
    "\n",
    "s = calibration_model.calibrate(num_iterations=20000, sess=model.sess, display_every=2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "d6a2c8fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "u_pred, = model.predict(x_test, samples, [process_nn])\n",
    "mu = np.mean(u_pred, axis=0)\n",
    "std = np.std(u_pred, axis=0) * s\n",
    "\n",
    "plt.figure(figsize=(8, 6), dpi=80)\n",
    "plt.plot(x_cal, u_cal, '.', label=\"calibration data\")\n",
    "plt.plot(x_train, u_train, \"k.\", markersize=10, label=\"observations\")\n",
    "plt.plot(x_test, u_test, \"k-\", label=\"reference\")\n",
    "plt.plot(x_test, mu, \"r--\", label=\"mean\")\n",
    "plt.fill_between(\n",
    "    x_test.flatten(),\n",
    "    (mu + 2 * std).flatten(),\n",
    "    (mu - 2 * std).flatten(),\n",
    "    alpha=0.3,\n",
    "    facecolor=\"k\",\n",
    "    label=\"2 $\\\\bar{\\\\sigma}_e$\",\n",
    ")\n",
    "plt.fill_between(\n",
    "    x_test.flatten(),\n",
    "    (mu + 2 * np.sqrt(std**2 + noise**2)).flatten(),\n",
    "    (mu - 2 * np.sqrt(std**2 + noise**2)).flatten(),\n",
    "    alpha=0.3,\n",
    "    facecolor=\"r\",\n",
    "    label=\"2 $\\\\bar{\\\\sigma}$\",\n",
    ")\n",
    "plt.legend()\n",
    "plt.xlabel(\"$x$\")\n",
    "plt.ylabel(\"$u$\")\n",
    "plt.ylim([-2, 2])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f81f7eb2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
